Q. 2 C4.0( 3 Votes )

# Reduce each of the following expressions to the Sine And Cosine ofA single expression:

24 cos x + 7 sin x

Answer :

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

Dividing and multiplying by √(24^{2} + 7^{2}) = √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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(iii)

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