SOLUTION: show that sinθ = cosθ tanθ
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Question 207162: show that sinθ = cosθ tanθ
Found 2 solutions by jim_thompson5910, Theo:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
sinθ = cosθ tanθ .... Start with the given equation.
sinθ = cosθ (sinθ/cosθ) ... Rewrite tangent as sine over cosine
sinθ = 1*(sinθ/1) ... Cancel out the common terms.
sinθ = sinθ ... Simplify
So this verifies the identity.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
sin(θ) =
cos(θ) =
tan(θ) =
-----
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o = side opposite angle θ
a = side adjacent angle θ
h = hypotenuse of the right triangle.
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cos(θ) * tan(θ) = = = because the a in the numerator cancels the a in the denominator.
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you are left with sin(θ) = = cos(θ) * tan(θ)
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