214k views
0 votes
Verify each identity.

Please help, it wants the written steps to verify each (even if you only solve one it helps a lot!!).

Verify each identity. Please help, it wants the written steps to verify each (even-example-1
User Mussa
by
4.0k points

2 Answers

1 vote

Answer:

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

Explanation:

User Tomas Smagurauskas
by
4.5k points
7 votes

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

User Gillespie
by
4.2k points