SOLUTION: How do you simplify the following equation with trigonometry identities?
tanθ/1-cos^2θ
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Question 1206148: How do you simplify the following equation with trigonometry identities?
tanθ/1-cos^2θ
Found 2 solutions by MathLover1, math_tutor2020:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
use identity: and
=...simplify
=
=... use identity: and
=
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
= Use the pythagorean trig identity
=
=
=
=
=
Therefore,
is an identity.
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Alternatively,
=
= Use a variation of sin(2theta) = 2*sin(theta)*cos(theta)
=
=
So we could also say that
is an identity.
You can use a graphing calculator to verify each identity.
Desmos is one good choice.
https://www.desmos.com/calculator/jwy2tauhgg
Notice how one curve overlaps the other perfectly. Click each curve on/off to help show the overlap (the curve should blink different colors).
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