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education/math/MATH1060 (trig)/Identities.md

@@ -39,3 +39,9 @@ $$ \frac{sin\theta}{cos\theta} = \frac{sin\theta}{1} * \frac{1}{csc\theta} $$
 $$ \frac{sin\theta}{1} * \frac{1}{csc\theta} = sin\theta * sin\theta $$
 3. Simplifying further, we get:
 $$ sin^2\theta $$
+### 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