vault backup: 2024-09-23 11:20:52

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zleyyij 2024-09-23 11:20:52 -06:00
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@ -39,3 +39,9 @@ $$ \frac{sin\theta}{cos\theta} = \frac{sin\theta}{1} * \frac{1}{csc\theta} $$
$$ \frac{sin\theta}{1} * \frac{1}{csc\theta} = sin\theta * sin\theta $$ $$ \frac{sin\theta}{1} * \frac{1}{csc\theta} = sin\theta * sin\theta $$
3. Simplifying further, we get: 3. Simplifying further, we get:
$$ sin^2\theta $$ $$ sin^2\theta $$
### Finding all values using identities
If $sec\theta = -\frac{25}{7}$ and $0 < \theta < \pi$, find the values of the other 5 trig functions:
Using the trig identity $1 + tan^2\theta = cot^2\theta$, we can do this:
$$ 1 + tan^2\theta = (-\frac{25}{7})^2 $$
$25^2