SOLUTION: Can you prove each identity? And can you show me the solution so that I can do it next time?
1. (1+cos⁡θ)/cos⁡θ = sec θ + 1
2. cos⁡θ
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Question 821467: Can you prove each identity? And can you show me the solution so that I can do it next time?
1. (1+cosθ)/cosθ = sec θ + 1
2. cosθ/(1-sin〖² θ〗 ) = sec θ
3. sec〖θ-tanθ 〗/sec〖θ 〖+ tan〗θ 〗 = (1-sinθ)/(1+sinθ )
4. 1/sec〖θ-tanθ 〗 + 1/sec〖θ+tanθ 〗 = 2sec θ
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Prove each identity
1. (1+cosθ)/cosθ = sec θ + 1
2. cosθ/(1-sin〖² θ〗 ) = sec θ
3. sec〖θ-tanθ 〗/sec〖θ 〖+ tan〗θ 〗 = (1-sinθ)/(1+sinθ )
4. 1/sec〖θ-tanθ 〗 + 1/sec〖θ+tanθ 〗 = 2sec θ
***
Rewrite Identities
use x in place of theta:
..
1.
start with left side:
verified: left side=right side
..
2.
start with left side:
..
3.
start with left side:
..
..
verified: left side=right side
..
4.
start with left side:
..
..
..
..
verified: left side=right side
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