Question

If theta=45 degree then sec theta ×cot theta-cosec theta ×tan theta is

Answer 1

ans is o

Step-by-step explanation:

sec theta× cot theta-cosec they a × tan theta

sec 45°×cot 45°-cosec 45°×tan 45°

root 2×1- root 2 × 1

= 0

Answer 2

Given : The value of θ is = 45°

To find : The value of (secθ × cotθ - cosecθ × tanθ)

Solution :

We can simply solve this mathematical problem by using the following mathematical process.

Here, we have to know the values of the trigonometric angles, in order to solve this mathematical problem.

Values are :

1. sec 45° = √2
2. cot 45° = 1
3. cosec 45° = √2
4. tan 45° = 1

The final value will be :

= sec 45° × cot 45° - cosec 45° × tan 45°

= √2 × 1 - √2 × 1

= √2 - √2

= 0

(Multiplications are done before according to the BODMAS principle. And, this will be considered as the final result.)

Hence, the final value will be 0