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Transform one side into the other, or both sides into a third thing.

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Q: How do you verify a trig identity?
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How do you know the angle without using a calculator?

To find an angle without using a calculator, you will need to use a trig identity. Determine which angle it is and use its corresponding trig identity.


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The proof of this trig identity relies on the pythagorean trig identity, the most famous trig identity of all time: sin2x + cos2x = 1, or 1 - cos2x = sin2x. 1 + cot2x = csc2x 1 = csc2x - cot2x 1 = 1/sin2x - cos2x/sin2x 1 = (1 - cos2x)/sin2x ...using the pythagorean trig identity... 1 = sin2x/sin2x 1 = 1 So this is less of a proof and more of a verification.


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