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Reduce each of the following expressions to the Sine And Cosine ofA single expression:
24 cos x + 7 sin x
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)