SOLUTION: Please help Given that the right triangle ABC as shown, fill in the values of tan θ and sec θ, and prove in general that 1 + tan^2 θ = sec^2 θ Tan θ =_

Algebra ->  Trigonometry-basics -> SOLUTION: Please help Given that the right triangle ABC as shown, fill in the values of tan θ and sec θ, and prove in general that 1 + tan^2 θ = sec^2 θ Tan θ =_      Log On


   



Question 1115433: Please help
Given that the right triangle ABC as shown, fill in the values of tan θ and sec θ, and prove in general that 1 + tan^2 θ = sec^2 θ
Tan θ =_____
Sec θ=_____
https://ibb.co/gdTOUH

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1 + tan^2 = sec^2
1 + sin^2/cos^2 = 1/cos^2
Multiply by cos^2
cos^2 + sin^2 = 1
QED
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Look up "Half angle formulas" on Wikipedia for more detail, if needed.