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The set also asks for exact values using quadrant information, arc length to find angles in radians, solving for angles and parameters from graph features, and analyzing inverse and asymptotic behavior, plus sketches of trig and inverse graphs.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/pre-calculus-math-40s-standards-test-trigonometry-i-questions/453897/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/pre-calculus-math-40s-standards-test-trigonometry-i-questions/453897.png","ImageObject",300,407,{"name":92,"@type":93},"EvelynWrites","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-19","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What topics do these Trigonometry I practice questions cover?","Question",{"text":112,"@type":113},"They cover cosine/sine equations from graph features, converting radians to degrees, finding exact trig values using quadrants, determining period, and analyzing graphs including inverse functions and vertical asymptotes.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are radians and degrees used in the questions?",{"text":117,"@type":113},"Several questions require converting angles like 111π/8 or 3π/5 into degrees, and others determine angles in radians using arc length with a given radius.",{"name":119,"@type":110,"acceptedAnswer":120},"What does the set ask regarding graph behavior?",{"text":121,"@type":113},"It includes finding values from maxima/minima, writing parameter forms for trig graphs, sketching functions like y=cos x and y=tan x, and stating domains and vertical asymptote equations.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},453897,1790792348,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145},687212989558,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Trigonometry I  \nCopyright © 2006, [Barry Mabillard. www.math40s.com](Barry Mabillard. www.math40s.com)  \n1. The minimum and the maximum of a trigonometric function are shown in the diagram.  \na) Write a cosine equation for the function  \nb) Determine the value of they – intercept, correct to three decimal places  \n2. Convert 111π8 to degrees  \nTrigonometry I Standards Test Practice Exam [1](1 www.math40s.com)[ www.math40s.com](1 www.math40s.com)  \n3. Find the exact value of sinθ if cos θ =  \n1  \n7  \n, and the terminal arm is in Quadrant I.  \n4. What is the period in the function f ( x ) = 3sin ( 5x) − 2  \n5. Given the point (-3, -4), determine the exact values of cos θ and sinθ  \n6. The length of arc swept out by an angle θ is 50 cm. If the radius of the circle is 18 cm, determine the measure of θ in radians.  \nTrigonometry I Standards Test Practice Exam [2](2 www.math40s.com)[ www.math40s.com](2 www.math40s.com)  \n7. Determine a value for x that would make the function f ( x ) = 3cscx undefined in the domain [0, 2π )  \n8. Determine the value of f ( 10) in the function f ( x ) = 4sin π ( x − 2) + 3  \n9. The graph of y = 6cos ⎝⎜⎛ x + ~~ ~~3π4~~ ~~ ⎟ +1 is illustrated below.  \nDetermine the exact values of g, h, m & n.  \nTrigonometry I Standards Test Practice Exam [3](3 www.math40s.com)[ www.math40s.com](3 www.math40s.com)  \n10. If the measure of the central angle is π4~~ ~~ , determine the measures of the other two angles within the triangle.  \n11. Determine the number of radians between the hour hand and the minute hand at 7:00 .  \nTrigonometry I Standards Test Practice Exam [4](4 www.math40s.com)[ www.math40s.com](4 www.math40s.com)  \n12. Determine the value of cos ⎛⎜⎝ − ~~ ~~7π4~~ ~~ ⎟  \n13. The circle x 2 + y2 = 1 is drawn below, along with the line y =  3 . 2  \nDetermine the coordinates of the two intersection points.  \n14. The graph of f ( x ) = 6sin x + d touches the x-axis once (but does not pass through) on the interval 0 ≤ x ≤ 2π . A possible value for d is:  \nTrigonometry I Standards Test Practice Exam [5](5 www.math40s.com)[ www.math40s.com](5 www.math40s.com)  \n15. a) Graph y = cos x  \nb) Graph y = cos−1 x  \nc) State the domain of f −1 ( x )  \n16. The maximum point on a trigonometric graph is at the point (-4, 6), and the minimum point is at (2, -2). If the graph is of the form y = a cos b ( x + c ) + d , then determine possible values for each of the parameters.  \nTrigonometry I Standards Test Practice Exam [6](6 www.math40s.com)[ www.math40s.com](6 www.math40s.com)  \n17. An angle of 15° is equivalent to   radians. (exact value)  \n18. The exact value of cos−1 ⎛⎜⎝ cos ~~ ~~5π6~~ ~~ ⎟ is  \n19. Write the general equation of a vertical asymptote in the graph of y = cscx  \n20. If csc θ = 2 and tan θ \u003C 0 , determine the value of cos θ  \nTrigonometry I Standards Test Practice Exam [7](7 www.math40s.com)[ www.math40s.com](7 www.math40s.com)  \n21. Given the function f ( x ) = 2sin ⎢π2~~ ~~ ( x − 2)⎥ a) Sketch the graph  \nb) Sketch y = f ( x )  \n22. If the coordinates of a point P (θ ) on the unit circle is (a, b), then the coordinates of the point P θ +180o  are  \nTrigonometry I Standards Test Practice Exam [8](8 www.math40s.com)[ www.math40s.com](8 www.math40s.com)  \n23. State the period of the graph of y = csc θ  \n24. Convert 3π5 to degrees. Express answer to one decimal place.  \n25. Given the function f ( x ) = tan x  \na) Sketch y = f ( x ) on the domain ⎝⎜⎛ − ~~ ~~π2~~ ~~,~~ ~~π2~~ ~~ ⎟  \nb) State the domain of f ( x )  \nc) Sketch the graph of f −1 ( x )  \nTrigonometry I Standards Test Practice Exam [9](9 www.math40s.com)[ www.math40s.com](9 www.math40s.com)","cbCaiiS16ehT5zzA","https://ap.wps.com/l/cbCaiiS16ehT5zzA","pdf",268009,17,"English","# Trigonometry I\n## Trigonometric equations and extrema\n## Conversions and exact values\n## Period, angles, and arc length\n## Graphs, sketches, inverse functions, and asymptotes","[{\"question\":\"What topics do these Trigonometry I practice questions cover?\",\"answer\":\"They cover cosine/sine equations from graph features, converting radians to degrees, finding exact trig values using quadrants, determining period, and analyzing graphs including inverse functions and vertical asymptotes.\"},{\"question\":\"How are radians and degrees used in the questions?\",\"answer\":\"Several questions require converting angles like 111π/8 or 3π/5 into degrees, and others determine angles in radians using arc length with a given radius.\"},{\"question\":\"What does the set ask regarding graph behavior?\",\"answer\":\"It includes finding values from maxima/minima, writing parameter forms for trig graphs, sketching functions like y=cos x and y=tan x, and stating domains and vertical asymptote equations.\"}]","Pre-Calculus Math 40s Standards Test - Trigonometry I - Questions | PDF",1790739784,43]