Question

if 10 theta + cot theta equals to 2 then find the value of 10 raise to the power 10 theta + cot raise to the power 10 theta​

Answer 1

Answer:

Step-by-step explanation:

tanθ + cotθ = 2

=> tanθ + 1/tanθ = 2

=> 1 + tan²θ = 2tanθ

=> 1 + tan²θ - 2tanθ = 0

=> (1 - tanθ)² = 0

=> 1 - tanθ = 0

=> tanθ = 1

Now,

tan¹⁰θ + cot¹⁰θ

=> tan¹⁰θ + 1/tan¹⁰θ

=> (tanθ)¹⁰ + 1/ (tanθ)¹⁰

=> (1)¹⁰ + (1)¹⁰

=> 1 + 1

=> 2