Question

Solve the trigonometry equation. ​

Answer 1

Answer:

theta = 45°

Step-by-step explanation:

pls refer attachment

Answer 2

Answer:

θ = ( 2 n + 1 ) π / 2  where n ∈ I

θ = ( 2 n π + 1 ) ± π / 4  where  n ∈ I .

Step-by-step explanation:

√ 2 cos² θ - cos θ = 0

Taking cos θ as common :

cos θ ( √ 2 cos θ - 1 ) = 0

Case 1 .

cos θ = 0

θ = ( 2 n + 1 ) π / 2  where n ∈ I

Case 2 .

( √ 2 cos θ - 1 ) = 0

√ 2 cos θ = 1

cos θ = 1 / √ 2

cos θ  = cos  π / 4

Now it is in form of cos θ = cos α

θ = ( 2 n π + 1 ) ± π / 4  where  n ∈ I .

Hence we get answer  .