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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