Answer :

Let f(x) = 24 cos x + 7 sin x


Dividing and multiplying by √(242 + 72) = √625 = 25,



Sine of expression:


where sin α = 24/25 And cos α = 7/25


We know that sinA cosB + cosA sinB = sin(A +B)



Cosine of the expression:



We know that cosA cosB + sinA sinB = cos(A -B)



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