[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523526-105":59,"doc-detail-523526-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","product-to-sum-identities-worksheets","Product-to-Sum Identities - Worksheets","","Infinite Precalculus worksheet on product-to-sum and sum-to-product trigonometric identities. Students write each product as a sum or difference using positive arguments, then convert selected sums or differences into products. The worksheet also includes a set of expressions requiring the exact values after applying the identities. Problems cover cosine and sine combinations and require systematic simplification.",{"@graph":69,"@context":123},[70,84,106],{"@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/product-to-sum-identities-worksheets/523526/",{"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/product-to-sum-identities-worksheets/523526.png","ImageObject",300,407,{"name":92,"@type":93},"mieayamfan","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the main task of the worksheet?","Question",{"text":113,"@type":114},"Convert between products and sums/differences of sine and cosine using product-to-sum and sum-to-product identities, then evaluate the resulting expressions exactly.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How should products be transformed in the first section?",{"text":118,"@type":114},"Write each product as a sum or difference with positive arguments, applying the appropriate trig identity and simplifying.",{"name":120,"@type":111,"acceptedAnswer":121},"What is required in the final section?",{"text":122,"@type":114},"Find the exact value of each given trigonometric expression by using the identities and simplifying the result.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},523526,1791497732,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"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":24,"preview_page_count":4},962090893677,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Kuta Software-Infinite Precalculus Name   \nProduct-to-Sum Identities Date  Period   \nWrite each product as a sum or difference with positive arguments.  \n1) cos 􀀛􀀗sin 􀀗 2) 􀀗 cos 􀀚􀀓 cos 􀀖􀀖  \n3) 􀀐􀀖 cos 􀀔􀀕􀀜 cos 􀀔􀀚 4) 􀀕sin 􀀚􀀜 cos 􀀖􀀛  \n5) 􀀐􀀕 cos 􀀔􀀔 Bsin B 6) sin 􀀘Asin 􀀚A  \n7) cos 􀀔􀀓Asin A 8) cos 􀀗Acos 􀀛A  \nWrite each sum or difference as a product with positive arguments.  \n9) 􀀗 (sin 􀀔􀀗x 􀀐 sin 􀀕x) 10) 􀀐􀀘 (cos 􀀜􀀔 􀀐 cos 􀀔􀀔􀀘)  \n11) cos 􀀕􀁔 􀀐 cos 􀀛􀁔 12) 􀀖 (cos 􀀔􀀘 x 􀀐 cos 􀀘x)  \n13) 􀀐􀀘 (cos 􀀖A 􀀐 cos 􀀜A) 14) 􀀖 (cos 􀀔􀀓􀀓 􀀐 cos 􀀕􀀗􀀛)  \nFind the exact value of each expression.  \n15) cos 􀀗􀀘 cos 􀀔􀀘 16) 􀀐􀀖 cos 􀀔􀀜􀀘sin 􀀗􀀘  \n17) 􀀗sin 􀀚􀀘 sin 􀀔􀀘 18) sin 􀀕􀀕􀀘sin 􀀔􀀓􀀘  \n19) sin 􀀔􀀓􀀘 cos 􀀕􀀕􀀘 20) 􀀕 cos 􀀔􀀜􀀘sin 􀀗􀀘  \nKuta Software-Infinite Precalculus Name   \nProduct-to-Sum Identities Date  Period   \nWrite each product as a sum or difference with positive arguments.  \n1) cos 􀀛􀀗sin 􀀗  \n sin 􀀛􀀛 􀀐 sin 􀀛􀀓􀀕  \n3) 􀀐􀀖 cos 􀀔􀀕􀀜 cos 􀀔􀀚  \n􀀐􀀖 cos 􀀔􀀔􀀕 􀀐 􀀖 cos 􀀔􀀗􀀙 􀀕  \n5) 􀀐􀀕 cos 􀀔􀀔 Bsin B  \n􀀐sin 􀀔􀀕B 􀀎 sin 􀀔􀀓B  \n7) cos 􀀔􀀓Asin A  \nsin 􀀔􀀔 A 􀀐 sin 􀀜A 􀀕  \n2) 􀀗 cos 􀀚􀀓 cos 􀀖􀀖  \n􀀕 cos 􀀖􀀚 􀀎 􀀕 cos 􀀔􀀓􀀖  \n4) 􀀕sin 􀀚􀀜 cos 􀀖􀀛  \nsin 􀀔􀀔􀀚 􀀎 sin 􀀗􀀔  \n6) sin 􀀘Asin 􀀚A  \ncos 􀀕A 􀀐 cos 􀀔􀀕A 􀀕  \n8) cos 􀀗Acos 􀀛A  \ncos 􀀗A 􀀎 cos 􀀔􀀕A 􀀕  \nWrite each sum or difference as a product with positive arguments.  \n9) 􀀗 (sin 􀀔􀀗x 􀀐 sin 􀀕x)  \n􀀛 cos 􀀛 xsin 􀀙x  \n11) cos 􀀕􀁔 􀀐 cos 􀀛􀁔  \n􀀕sin 􀀘 􀁔 sin 􀀖􀁔  \n13) 􀀐􀀘 (cos 􀀖A 􀀐 cos 􀀜A)  \n􀀐􀀔􀀓sin 􀀙Asin 􀀖A  \nFind the exact value of each expression.  \n15) cos 􀀗􀀘 cos 􀀔􀀘  \n􀀖 􀀎 􀀔  \n􀀗  \n17) 􀀗sin 􀀚􀀘 sin 􀀔􀀘  \n􀀔  \n19) sin 􀀔􀀓􀀘 cos 􀀕􀀕􀀘  \n􀀐􀀔 􀀐 􀀖  \n􀀗  \n10) 􀀐􀀘 (cos 􀀜􀀔 􀀐 cos 􀀔􀀔􀀘)  \n􀀐􀀔􀀓sin 􀀔􀀓􀀖sin 􀀔􀀕  \n12) 􀀖 (cos 􀀔􀀘 x 􀀐 cos 􀀘x)  \n􀀐􀀙sin 􀀔􀀓xsin 􀀘x  \n14) 􀀖 (cos 􀀔􀀓􀀓 􀀐 cos 􀀕􀀗􀀛)  \n􀀙sin 􀀔􀀚􀀗sin 􀀚􀀗  \n16) 􀀐􀀖 cos 􀀔􀀜􀀘sin 􀀗􀀘  \n􀀖 􀀖 􀀎 􀀖  \n􀀗  \n18) sin 􀀕􀀕􀀘sin 􀀔􀀓􀀘  \n􀀐􀀔 􀀐 􀀖  \n􀀗  \n20) 􀀕 cos 􀀔􀀜􀀘sin 􀀗􀀘  \n􀀐 􀀖 􀀐 􀀔  \n􀀕  \nCreate your own worksheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiqz0sA7f0hWs","https://ap.wps.com/l/cbCaiqz0sA7f0hWs","pdf",22765,"English","# Product-to-Sum Identities\n## Write each product as a sum or difference\n## Write each sum or difference as a product\n## Find the exact value of each expression","[{\"question\":\"What is the main task of the worksheet?\",\"answer\":\"Convert between products and sums/differences of sine and cosine using product-to-sum and sum-to-product identities, then evaluate the resulting expressions exactly.\"},{\"question\":\"How should products be transformed in the first section?\",\"answer\":\"Write each product as a sum or difference with positive arguments, applying the appropriate trig identity and simplifying.\"},{\"question\":\"What is required in the final section?\",\"answer\":\"Find the exact value of each given trigonometric expression by using the identities and simplifying the result.\"}]","Product-to-Sum Identities - Worksheets | PDF",1791426957]