[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-397214-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-397214-en":131},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","practice-prep-for-placement-test-4","Practice-Prep for Placement Test 4","","Practice test for a math placement assessment focused on trigonometry. The questions cover exact-value evaluation without calculators, right-triangle trig functions, and using identities to rewrite products and simplify expressions. It also includes graph interpretation and transformations of sine and cosine functions, solving trig equations in specified intervals, and converting results into interval notation or exact radians.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/practice-prep-for-placement-test-4/397214/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/practice-prep-for-placement-test-4/397214.png","ImageObject",300,407,{"name":42,"@type":43},"gewufjwa","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-31","2026-09-26",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",11,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"Are calculator-free exact values required on this practice test?","Question",{"text":63,"@type":64},"Yes. Several problems explicitly state to find exact values without using a calculator and to avoid decimals.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What topics are covered beyond basic trig?",{"text":68,"@type":64},"The test includes trig identities, rewriting products as sums, and simplifying expressions into a single trig function or constant.",{"name":70,"@type":61,"acceptedAnswer":71},"Do some questions require answers in specific formats or intervals?",{"text":72,"@type":64},"Yes. Examples include interval notation for inequalities and exact radians constrained to a given range.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},397214,1790531765,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":140,"language":141,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":12,"update_tm":145,"read_time":146,"preview_page_count":4},3985747882900,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Hello student! Use this practice test to prepare for your math placement test: WAMAP Test 4. Answers are included at the end of document, if you get 75%+ correct we encourage you to take Test 4 with Highline College.  \nPractice-Prep for Placement Test 4  \n1. Without using a calculator, find the exact value of the expression: 5sin2 (1 . 9) + 5cos2 (1 . 9) .  \n2. Find the exact value of the expression  \nsin (􀰗4) ⋅ cos (􀰗3) (Give the exact value-do not use decimals.)  \n3.  \n\" alt=\"Graphs\"/>  \nTwo sides of a right triangle ABC (where C is the right angle) are given. Find the indicated  \ntrigonometric functions of the given angle 􀟠 . Give an exact answer (do not use decimals) . Let side 􀜽 = 10 and side 􀜾 = 7 .  \nCompute the exact value of each quantity: sin (􀟠) =    \ntan (􀟠) =    \n4.  \n\" alt=\"Graphs\"/>  \nThe right triangle above forms an angle φ from one side, 􀝔 , and the hypotenuse, 􀜿 = 14 . Where the side opposite to angle φ is not provided.  \nFrom the triangle, find $\\displaystyle{\\cos{{\\left(&\\phi;\\right)}}}$ and $\\displaystyle{\\tan{{\\left(&\\phi;\\right)}}}$ .  \nCompute the exact value of each quantity:  \n$\\displaystyle{\\cos{{\\left(&\\phi;\\right)}}}=$  $\\displaystyle{\\tan{{\\left(&\\phi;\\right)}}}=$    \n5. Use the Pythagorean Theorem to find the missing length in the given right triangle. The image is not to scale.  \n􀜿 =    \nExact answer required; do not enter answer as a decimal. Entry Tip: To enter an answer like 50√􀝔 , you would type 50sqrt(x). Preview your answer before submitting!  \n6.  \nNote: Triangle may not be drawn to scale.  \nSuppose a = 4 and b = 2.  \nFind an exact value or give least two decimal places:  \nsin(A) =   cos(A) =   tan(A) =   sec(A) =   csc(A) =    \ncot(A) =    \n7. If sin􀟠 = 36 and 􀟠 is in quadrant II, then cos (􀟠) =   ;  \ntan (􀟠) =   ;  \ncot (􀟠) =   ;  \nsec (􀟠) =   ;  \ncsc (􀟠) =   ;  \n8.  \nNote: Triangle may not be drawn to scale.  \nSuppose a = 7 and b = 2.  \nFind an exact value or give at least two decimal places:  \nsin(A) =   cos(A) =   tan(A) =   sec(A) =   csc(A) =    \ncot(A) =    \n9. Simplify the expression tan (􀝐) ⋅ cot(􀝐) and write your answer as a single trig function ora constant:  \ntan (􀝐) ⋅ cot(􀝐) =    \n10. Which of the following graphs is the correct plot of 􀝕 = 4sin(􀝔) ?  \n__  \n__  \n__  \n__  \n11. The graph shown is a vertical stretch of the graph of 􀝕 = sin􀝔 .  \nThe equation of the graph shown is 􀝕 =   (Enter a sine function)  \nThe graph could also be a transformation of the graph of 􀝕 = cos􀝔 .  \nIn that case, the equation of the graph would be 􀝕 =   (Enter a cosine function)  \n12. Which of the following, if any, is the graph of 􀝂(􀝔) = sin􀝔 NOTE: Gridlines are in incements of one unit.  \n__  \n__  \n__  \n__  \n13. Solve the equation tan2 (􀟠)sin (􀟠) − tan2 (􀟠) = 0 .  \n􀟠 =    \n14. Solve the equation √3sin(􀟠) + 2sin(􀟠)cos (􀟠) = 0 .  \n􀟠 =    \n15. Which of the functions sin(􀝔) cos (􀝔) and tan(􀝔) are even functions [with the property that 􀝂 (−􀝔) = −􀝂(􀝔) ]?  \nA. __ cos (􀝔) ONLY  \nB. __ cos (􀝔) and tan(􀝔)  \nC. __ sin (􀝔) and tan(􀝔)  \nD. __ sin (􀝔) and cos(􀝔)  \nE. __ sin (􀝔) ONLY  \n16. Using interval notation, give all values of 􀟠 such that sin􀟠 ≥ 0 for 0 ≤ 􀟠 ≤ 2􀟨 .  \nClick inside the answer box for formatting options and Greek letters/symbols.  \n(Type your answer in interval notation. Two lowercase \"oo\" will make the infinity symbol \"∞ \".)  \nThis is standard American interval notation: Inequality Interval Notation  \n􀝔 \u003C −5 (−∞, −5)  \n􀝔 ≤ −5 (−∞, −5]  \n􀝔 > −5 (−5, ∞)  \n􀝔 ≥ −5 [−5, ∞)−5 \u003C 􀝔 ≤ 0 (−5, 0]  \n17. Simplify (sin(􀯧)+co2ss(􀯧in))(22)(sceocs((􀯧􀯧))−sin(􀯧))2 to a single trig function  \n18. Suppose 􀜣 is an acute angle, and sin􀜣 = 45 , cos􀜣 = 35 .  \nFind sin2􀜣 and cos2􀜣 .  \nsin2􀜣 =   cos2􀜣 =    \n19. Write the product as a sum: 18cos(10􀝌)cos (3􀝌) =    \n20. For each part, type your answer in as a fraction. Do not use a decimal or round your answers.  \nIf sin(􀝔) = 35 , then csc(􀝔) =    \nIf cos(􀝔) = 23 , then sec(􀝔) =   If tan(􀝔) = 7 , then cot(􀝔) =    \n21. Solve the equation cos (􀟠) + 2sin(􀟠)cos (􀟠) = 0 .  \n","cbCaibUPYLul3Qg0","https://ap.wps.com/l/cbCaibUPYLul3Qg0","pdf",333475,14,"English","# Practice-Prep for Placement Test 4\n## Trigonometric exact values and identities\n## Right-triangle trigonometry\n## Graphs and function transformations\n## Solving trig equations and inequalities","[{\"question\":\"Are calculator-free exact values required on this practice test?\",\"answer\":\"Yes. Several problems explicitly state to find exact values without using a calculator and to avoid decimals.\"},{\"question\":\"What topics are covered beyond basic trig?\",\"answer\":\"The test includes trig identities, rewriting products as sums, and simplifying expressions into a single trig function or constant.\"},{\"question\":\"Do some questions require answers in specific formats or intervals?\",\"answer\":\"Yes. Examples include interval notation for inequalities and exact radians constrained to a given range.\"}]","Practice-Prep for Placement Test 4 | PDF",1790460590,35]