Question

If sinx=2cosx then, what is the value of sin2x?

Answer 1

Answer:

Sin2x = 0.801

Step-by-step explanation:

Given  :  sinx = 2cosx .

To find : what is the value of sin2x.

Solution : We have given

sinx = 2cosx .

On dividing both sides by cos x

$\frac{sinx}{cosx}$ =  2 .

tan x = 2

Taking inverse of tanx .

x = $Tan^{-1}(2)$.

x = 63.43

We need to find Sin2x .

Sin2x = Sin2(63.43)

Sin2x = Sin ( 126.86).

Sin2x = 0.801

Therefore, Sin2x = 0.801

Answer 2

          sin(x) = 2cos(x)
         tan(x) = 2
tan⁻¹[tan(x)] = tan⁻¹(2)
                x ≈ 63.4

sin(2x) = sin[2(63.4)]
sin(2x) = sin(126.8)
sin(2x) ≈ 0.801