Question

If 2sin theta =root3 find the valu of cos theta

Answer 1

Answer:

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Answer 2

First, I'd like you to know that I'll be using 'a ' as theta as it consumes time writing the word over and over again.

Now,

2sin a = √3

=> sin a = √3/2

We know, by triangle property that sin a = perpendicular / hypotenuse

= √3 / 2

and also,

cos a = base / hypotenuse

So, using Pythagoras theorem,

(Hypotenuse)^2 = (Base)^2 + ( Perpendicular) ^2

=> 2^2 = (base)^2 + 3

=> (base)^2 = 1

=> base = 1

Hence, cos a = base/ hypotenuse

= 1/ 2

Hope this helps!!