sin 105° + cos 105º = cos 45º
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Please refer to the attached solution
So here is what I did in solution:-
1. Break sin105° and cos105° into smaller angles
2. Now divide and multiple whole equation by √(a² + b²) i.e., √2.
What is a and b?
Our general equation is acosx + bsinx hence in equation sin75° - cos75°, a and b are 1 and - 1 respectively so √(a² + b²) is √[1² + (- 1)²] = √2.
3. Now simply use sinAcosB - cosAsinB = sin(A - B)
Tell me if you have any problem in this solution ;)
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