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Proving Trigonometric Identities

So, you've memorized your fundamental identities, but how can you prove the more obscure ones? See how to apply the basic building blocks of trig to understand deeper relationships.

Proving Trigonometric Identities

         

Which of the following expressions is equal to \[ \left( \sin{\theta} - \tan{\theta} \right) \left( \cos{\theta} - \cot{\theta} \right) ? \]

Which of the following expressions is equal to \[ \tan{\theta} \sin{\theta} + \cos{\theta} ? \]

Which of the following expressions is equal to \[ \tan^2{\theta} + \cot^2{\theta} ? \]

Which of the following is equal to \(\sin 2x?\)

Which of the following expressions is equal to \[ \tan^2{\theta} - \sin^2{\theta} ? \]

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