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Grade: 12

                        

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

one month ago

Answers : (1)

Anand Kumar Pandey
askIITians Faculty
1372 Points
							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
one month ago
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