Q. 1 A4.1( 9 Votes )

# Choose the correct alternative answer for following multiple choice questions.

Which of the following statements is true?

A. sin θ = cos(90-θ)

B. cos θ = tan(90-θ)

C. sin θ = tan(90-θ)

D. tan θ = tan(90-θ)

Answer :

Let us consider the given triangle,

In this Δ PMN,

For ∠θ,

Opposite side = PM

Adjacent side= PN

For ∠ (90 –θ)

Opposite side = MN

Adjacent side = PM

sinθ = Opposite side/Hypotenuse

= PM/PN …………………… (i)

cos (90-θ) = Adjacent/Hypotenuse

= PM/PN ……………………. (ii)

RHS of equation (i) and (ii) are equal

∴ sinθ = cos (90-θ)

So Option A is correct.

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