Question

if tan theta = 1 find the value of (sec theta + cosec theta)^2​

Answer 1

Answer:

answer is 8

Step-by-step explanation:

theta is 45°

substitute theta value in equation

Answer 2

Given :

tan∅ = 1

To Find :

The value of (sec∅ + cosec∅)²

Solution :

In order to find the value of (sec∅ + cosec∅)², we need to find the value of ∅ first.

Given, tan∅ = 1

⇒   tan∅ = tan45

∴         ∅  = 45°

The value of ∅ is 45°

Now,

  (sec∅ + cosec∅)²

= (sec45 + cosec45)²

= (√2 + √2)²

= (2√2)²

= 4×2

= 8

Hence, the value of (sec∅ + cosec∅)² is 8.