Q. 44.0( 5 Votes )

# Choose the correc

Answer :

We are given that, We need to find the value of By property of inverse trigonometry,

cos-1 a + cos-1 b = cos-1(ab - √(1 – a2)√(1 – b2))

So,  Simplifying further, Taking cosine on both sides, Using the property of inverse trigonometric function,

cos(cos-1 x) = x  To simplify it further, take square on both sides. Using algebraic identity,

(x – y)2 = x2 + y2 – 2xy Simplifying it further, Shifting all terms at one side, Using trigonometric identity,

sin2 x + cos2 x = 1

sin2 x = 1 – cos2 x

We get, Rate this question :

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