Find all values of theta between 0 and 360 that satisfy the equation sin2theta=2sinthetacostheta

Mathematics · High School · Tue Nov 03 2020

llm

Answered on Mon Aug 15 2022

For finding the values of theta between 0 and 360 that satisfy the equation sin2theta=2sinthetacostheta

I take the first 30 ° for thighs for satisfying the given equation

Sin2(30°) = 2sin(30°)cos(30°)

We know that sin30°=½, cos30°=√(3)/2=sin60°

√(3)/2=2*½ *√(3)/2

√(3)/2=√(3)/2

So this(60°) satisfies the given equation.

And the same way we find more thighs value one us 60°.