1.

Is cos-1 (-x) = π – cos-1 x true? Justify your answer.

Answer»

Let θ = cos (-x) 

⇒ cos θ = -x ⇒ -cosθ = x 

i.e. cos(π – θ) = x 

⇒ π – θ = cos-1

⇒ π – cos x = θ 

i.e. π – cos-1

= cos-1 (-x)



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