Question

if 2 sin squared theta minus cos squared theta is equal to 2 then find the value of theta​

Answer 1

Hi baby

Answer: α = 90° or 270°

Step-by-step explanation:

given that

2 sin² α - cos² α =2

we know that

sin² α + cos² α = 1

so

2 sin² α -1+sin² α = 2

3 sin² α = 3

sin² α = 1

sin α = sin 90 ° or sin 270°

so

α = 90° or 270°

Brainiest answer please.

Answer 2

Answer: 90° or 270°

Step-by-step explanation:

Let theta = a ,For convienence

We know that :- Sin^2 a + cos^ 2a=1

Therefore

2sin^2 a - cos^2 a = 2 = 2(sin^2a+cos^2)

=> 2sin^2 a - cos^2 a = 2(sin^2a+cos^2)

=> - 3cos^2 a = 0

=> cos^2 a = 0/3=0

=> cos a =√0

=> cos a = 0

=> a = 90° ......... as cos 90° = 0

Hence a = theta = 90°...... Answer