[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523529-105":59,"doc-detail-523529-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","kuta-software-infinite-precalculus-sum-and-difference-identities-worksheet","Kuta Software-Infinite Precalculus - Sum and Difference Identities - Worksheet","","Worksheet for Infinite Precalculus focusing on sum and difference trigonometric identities. Tasks include finding exact values for selected expressions involving sin, cos, and tan; simplifying trigonometric results; rewriting trigonometric expressions into algebraic forms; and verifying provided identities through algebraic manipulation. Problems are presented as numbered items with student fields for Name, Date, and Period, followed by sections titled Find the exact value of each, Simplify, Write each trigonometric expression as an algebraic expression, and Verify each 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~~ ~~􀀔􀀚􀁓􀀔􀀕~~ ~~ 4) cos 􀀐􀀔􀀓􀀘  \n5) tan 􀀔􀀓􀀘 6) tan ~~ ~~􀀘􀀔~~ ~~  \ntan ~~ ~~􀀛􀁓􀀜~~ ~~ 􀀐 tan ~~ ~~~~ ~~ 8) cos 􀀔􀀓 cos 􀀖􀀘 􀀐 sin 􀀔􀀓sin 􀀖􀀘  \n7) ~~ ~~  \n􀀔 􀀎 tan ~~ ~~􀀛􀁓􀀜~~ ~~tan ~~ ~~~~ ~~  \n9) 􀀔tt􀀚a~~ ~~􀀎􀀚antan~~ ~~􀀔􀀙􀀗􀀔􀀙􀀗~~ ~~ 10) sin ~~ ~~~~ ~~cos 􀀕􀁓􀀜~~ ~~ 􀀎 cos ~~ ~~~~ ~~sin 􀀕􀁓􀀜~~ ~~  \nSimplify.  \n11) sin 􀀐􀀙􀁔cos 􀀗􀁔 􀀎 cos 􀀐􀀙􀁔 sin 􀀗􀁔 12) sin 􀁔cos 􀀖􀁔 􀀎 cos 􀁔 sin 􀀖􀁔  \n13) cos 􀀖 xcos 􀀐􀀗x 􀀎 sin 􀀖 xsin 􀀐􀀗x 14) 􀀔tuta􀀎ntanutan􀀗u􀀗u  \nWrite each trigonometric expression as an algebraic expression.  \n15) sin (cos 􀀐􀀔 ~~ ~~􀀕􀀕~~ ~~ 􀀐 sin􀀐􀀔 􀀕x ) 16) sin (sin􀀐􀀔 􀀗x 􀀎 cos􀀐􀀔 x)  \n17) cos (tan􀀐􀀔 􀀕x 􀀎 sin 􀀐􀀔 􀀓) 18) tan (tan 􀀐􀀔 􀀔 􀀐 tan 􀀐􀀔 x )  \nVerify each identity.  \n19) sin (~~ ~~~~ ~~ 􀀎 􀁔) 􀀠 cos 􀁔 20) cos (􀁓 􀀎 􀁔) 􀀠 􀀐cos 􀁔  \nKuta Software-Infinite Precalculus Sum and Difference Identities  \nFind the exact value of each.  \n1) sin 􀀐􀀔􀀘  \n􀀕 􀀐 􀀙  \n􀀗  \n3) cos ~~ ~~􀀔􀀚􀁓􀀔􀀕~~ ~~  \n􀀕 􀀐 􀀙  \n􀀗  \n5) tan 􀀔􀀓􀀘  \n􀀐􀀕 􀀐 􀀖  \n7)  \n􀀛􀁓 􀁓 tan ~~ ~~ 􀀐 tan ~~ ~~  \n􀀜 􀀔􀀛  \n􀀔 􀀎 tan ~~ ~~􀀛􀁓􀀜~~ ~~tan ~~ ~~~~ ~~  \nName  Date  Period   \n2) sin 􀀔􀀙􀀘  \n􀀙 􀀐 􀀕  \n􀀗  \n4) cos 􀀐􀀔􀀓􀀘  \n􀀕 􀀐 􀀙  \n􀀗  \n6) tan ~~ ~~􀀘􀀔~~ ~~  \n􀀕 􀀎 􀀖  \n8) cos 􀀔􀀓 cos 􀀖􀀘 􀀐 sin 􀀔􀀓sin 􀀖􀀘  \n􀀕  \n􀀕  \n􀀖  \n􀀐 􀀖  \n9) 􀀔tt􀀚a~~ ~~􀀎􀀚antan~~ ~~􀀔􀀙􀀗􀀔􀀙􀀗  \n􀀖  \n10)  \nsin ~~ ~~~~ ~~cos 􀀕􀁓􀀜~~ ~~  \n􀀎 cos ~~ ~~~~ ~~sin 􀀕􀁓􀀜~~ ~~  \n􀀖  \n􀀕  \nSimplify.  \n11) sin 􀀐􀀙􀁔cos 􀀗􀁔 􀀎 cos 􀀐􀀙􀁔 sin 􀀗􀁔  \nsin 􀀐􀀕􀁔  \n13) cos 􀀖 xcos 􀀐􀀗x 􀀎 sin 􀀖 xsin 􀀐􀀗x  \ncos 􀀚x  \n12) sin 􀁔cos 􀀖􀁔 􀀎 cos 􀁔 sin 􀀖􀁔  \nsin 􀀗􀁔  \n14) 􀀔tuta􀀎ntanutan􀀗u􀀗u  \ntan 􀀘u  \nWrite each trigonometric expression as an algebraic expression.  \n15) sin (cos 􀀐􀀔 ~~ ~~􀀕􀀕~~ ~~ 􀀐 sin􀀐􀀔 􀀕x )  \n􀀐􀀕x 􀀕 􀀎 􀀕 􀀐 􀀛 x 􀀕  \n􀀕  \n17) cos (tan􀀐􀀔 􀀕x 􀀎 sin 􀀐􀀔 􀀓)  \n􀀗x 􀀕 􀀎 􀀔  \n􀀗x 􀀕 􀀎 􀀔  \nVerify each identity.  \n19) sin (~~ ~~~~ ~~ 􀀎 􀁔) 􀀠 cos 􀁔  \nsin (~~ ~~~~ ~~ 􀀎 􀁔)    \n= sin  cos 􀁔 􀀎 cos  sin 􀁔= cos 􀁔 􀀎 􀀓sin 􀁔  \n= cos 􀁔  \n16) sin (sin􀀐􀀔 􀀗x 􀀎 cos􀀐􀀔 x)  \n􀀗x 􀀕 􀀎 􀀔 􀀐 􀀔􀀚x 􀀕 􀀎 􀀔􀀙x 􀀗  \n18) tan (tan 􀀐􀀔 􀀔 􀀐 tan 􀀐􀀔 x )  \n􀀔 􀀐 􀀕  􀀎 x  \n􀀔 􀀐 x  \n20) cos (􀁓 􀀎 􀁔) 􀀠 􀀐cos 􀁔  \ncos (􀁓 􀀎 􀁔)= cos 􀁓cos 􀁔 􀀐 sin 􀁓sin 􀁔= 􀀐cos 􀁔 􀀐 􀀓sin 􀁔  \n= 􀀐cos 􀁔  \nCreate your own worksheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaimOmqeH8q1k4","https://ap.wps.com/l/cbCaimOmqeH8q1k4","pdf",26937,"English","# Find the exact value of each\n# Simplify\n# Write each trigonometric expression as an algebraic expression\n# Verify each identity","[{\"question\":\"What topics does the worksheet cover?\",\"answer\":\"It focuses on sum and difference trigonometric identities, working with sin, cos, and tan through exact value finding, simplification, and identity verification.\"},{\"question\":\"What kinds of exercises are included?\",\"answer\":\"The worksheet includes exact-value problems, simplification problems, algebraic rewriting of trig expressions, and steps to verify given identities.\"},{\"question\":\"How do students verify identities on this worksheet?\",\"answer\":\"Students rewrite and simplify both sides of an identity using trigonometric relationships until they match, confirming equality.\"}]","Kuta Software-Infinite Precalculus - Sum and Difference Identities - Worksheet | PDF",1791426959]