Question

Verify each identity.

Answer 1

Answer:

cos(2x) = 1 - 2sin²(x)

cos(2x) = 2cos²(x) - 1

1/cos(x) = sec(x)

1) (1-cos(2x))/cos(x) = 2sec(x)sin²(x)

Starting from LHS

(1- (1 - 2sin²(x))/cos(x)

2sin²(x)/cos(x)

2sec(x)sin²(x) = RHS

2) 1/sec²(x) = 1 + cos(2x) - cos²(x)

Starting form RHS

1 + 2cos²(x) - 1 - cos²x

cos²x

(1/sec(x))²

1/sec²(x) = LHS

Answer 2

Answer:

Sorry I haven't learn how to d this yet!

Step-by-step explanation: