Question

If 1-cos square theta is equal to 3 by 4, then sin theta is

Answer 1

Answer:

l hope that this could help you

Answer 2

Answer:

The value of sin $\theta$ = $\frac{\sqrt{3} }{2}$

Step-by-step explanation:

Given,

$1-cos^2\theta$ = $\frac{3}{4}$

To find,

The value of sin $\theta$

Recall the identity

$sin^2\theta + cos^2\theta = 1$

Solution:

We have the identity

$sin^2\theta + cos^2\theta = 1$

$sin^2\theta =1 - cos^2\theta$  -------------(1)

Given, $1-cos^2\theta$ = $\frac{3}{4}$

Substituting the value of $1-cos^2\theta$ in the equation(1) we get,

$sin^2\theta =\frac{3}{4}$

sin $\theta$ = $\sqrt{\frac{3}{4} }$

sin $\theta$ = $\frac{\sqrt{3} }{2}$

∴ The value of sin $\theta$ = $\frac{\sqrt{3} }{2}$

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