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Evaluate: and plixxx tell it to me sin 25° cos 65° + cos 25° sin 65°

Evaluate:  and plixxx tell it to me
 sin 25° cos 65° + cos 25° sin 65°

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

sin 25° cos 65° + cos 25° sin 65°
To simplify this,
convert some of the sin functions into cos functions and cos function into sin function and it becomes,
= sin(90°-25°) cos 65° + cos (90°-65°) sin 65°
= cos 65° cos 65° + sin 65° sin 65°

= cos^2 65° + sin^2 65°
since sin^2 A + cos^2 A = 1
= 1

Therefore,
sin 25° cos 65° + cos 25° sin 65° = 1
The answer would be 1
Thanks

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