Math, asked by sharma295manojp8kn2v, 1 year ago

Sin63cos27+cos63sin27

Answers

Answered by cutiepiejyoti
5

Answer:

Step-by-step explanation:

to solve :-  Sin63 Cos 27 + Cos63 Sin27

Soln-

= sin63  cos(90-63) + cos63 sin (90-63)      

= sin63 sin 63 + cos 63 cos 63

= sin²63 + cos²63              

= 1         Ans.

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Answered by Anonymous
18

Answer:

1

Step-by-step explanation:

We \ have \ to \ find \ value \ of \ Sin \ 63 \ cos \ 27+cos \ 63 \ sin \ 27\\\\we \ know \ that\\\\sin(90-\theta)=cos \ \theta \ and \ cos(90-\theta)=sin \ \theta\\\\Sin \ 63 \ cos \ 27+cos \ 63 \ sin \ 27\\\\Rewrite \ as\\\\Sin \ 63 \ cos \ (90-63)+cos \ 63 \ sin \ (90-63)\\\\Using \ complimentry \ formula \ we \ get\\\\sin^2 \ 63+cos^2 \ 63\\\\we \ know \ identity\\\\sin^2 \ \theta+cos^2 \ \theta=1\\\\using \ identity \ we\ get\\\\sin^2 \ 63+cos^2 \ 63=1\\\\Thus, \ we \ get \ answer \ 1.

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