Question

If tan theta = cot theta and 0°<= theta<= 90°, find the value of theta.​

Answer 1

Answer:

theta = 45°

Step-by-step explanation:

theta is between 0° and 90°

it means theta is in first quadrant

In first quadrant all are +ve

tan θ = cot θ

it is possible on 45°

tan 45° = cot 45° = 1

hence,

θ = 45°

Answer 2

Answer:

45° or π/4

Step-by-step explanation:

we know that, cot(theta) =1/tan(theta)

and tan45°=1

for 0°≤theta≤90°

tan(thera)=cot(theta)

=>tan(theta)=1/tan(theta)

=>tan²(theta)=1

=>tan(theta)=1

=>(theta)=tan^-1 (1)

=>(theta)=tan^-1(tan45°)

=>theta=45° or π/4