Question

If sin∅=4%5 then find the value of sin2∅ in the condition of π%2<∅<3π%4

Answer 1

Answer:

$\sin( 2\alpha ) = \frac{ - 24}{25}$

Step-by-step Explanation:

Here we can replace theta with alpha. The meaning of the question won't change

$\sin( \alpha ) = \frac{4}{5}$

Given condition,

$\frac{\pi}{2} < \alpha < \frac{3\pi}{4}$

The values are in 2nd Quadrant

$\cos( \alpha ) = \frac{ - 3}{5}$

We know that,

$\sin(2 \alpha ) = 2 \sin( \alpha ) \cos( \alpha )$

$= 2( \frac{4}{5} )( \frac{ - 3}{5} )$

$= \frac{ - 24}{25}$