Question

If SinX=3/5 what is value of Sin2X​

Answer 1

Step-by-step explanation:

Explanation:

There are 2 ways:

1. First way.

Calculator gives -->

sin

x

=

−

3

5

=

−

0.60

--> x = -36.87 deg

and x = 180 + 36.87 = 216.87 (Quadrant III)

Then, 2x = 2(216.87) = 433.74 = (73.74 + 360) deg -->

--> sin 2x = sin 73.74 = 0.96

Second way

sin x = -0.6 -->

sin

2

x

=

0.36

-->

cos

2

x

=

1

−

0.36

=

0.64

-->

-->

cos

x

=

±

0.8

. Since x is located in Quadrant III, then,

cos

x

=

−

0.8

sin 2x = 2sinx.cos x = 2(-0.6)(-0.8) = 0.96

please mark as branlist answer