Use the sum and difference identites to find the exact values of sine, cosine, t

Anish Buchanan

Anish Buchanan

Answered question

2021-08-11

Use the sum and difference identites to find the exact values of sine, cosine, tangent of the angle 7π12

Answer & Explanation

Bella

Bella

Skilled2021-08-12Added 81 answers

Use of sim and difference identity:
cos(7π12)=cos(π4+π3)=cosπ4cosπ3sinπ4sinπ3
=22×1222×32=264=0.2588
sin(7π12)=sin(π4+π3)=sinπ4cosπ3+cosπ4sinπ3
=22×12+22×32=6+24=0.9659
tan(7π12)=tan(π4+π3)
=tanπ4+tanπ31tanπ4tanπ3=1+313=3.732
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-10Added 2605 answers

Answer is given below (on video)

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