Question

if tan tetha - 4/tan tetha = 3, then sin square tetha is​

Answer 1

Answer:

Given, tan θ = -4/3

We know that tan θ = Opposite/Adjacent and tan is negative in the second and fourth quadrants.

sin is positive in the second quadrant and negative in the fourth quadrant.

Thus, sin θ can be positive or negative in this case.

Also, by Pythagorean triple, hypotenuse = 5

Therefore, sin θ = 4/5 or sin θ = -4/5