vault backup: 2024-09-23 11:20:52
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@ -39,3 +39,9 @@ $$ \frac{sin\theta}{cos\theta} = \frac{sin\theta}{1} * \frac{1}{csc\theta} $$
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$$ \frac{sin\theta}{1} * \frac{1}{csc\theta} = sin\theta * sin\theta $$
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$$ \frac{sin\theta}{1} * \frac{1}{csc\theta} = sin\theta * sin\theta $$
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3. Simplifying further, we get:
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3. Simplifying further, we get:
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$$ sin^2\theta $$
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$$ sin^2\theta $$
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### Finding all values using identities
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If $sec\theta = -\frac{25}{7}$ and $0 < \theta < \pi$, find the values of the other 5 trig functions:
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Using the trig identity $1 + tan^2\theta = cot^2\theta$, we can do this:
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$$ 1 + tan^2\theta = (-\frac{25}{7})^2 $$
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$25^2
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