Question

Write each expression in terms of sines and or cosines and then simplify secx and cosx

Answer 1

In order to express each expression in terms of sines and/or cosines, we can use the following trigonometric identities:

1. $\sec(x) = \frac{1}{\cos(x)}$
2. $\cos(x) = \sqrt{1 - \sin^2(x)}$

Using these identities, we can simplify $\sec(x)$ and $\cos(x)$ as follows:

1. $\sec(x) = \frac{1}{\cos(x)}$

2. $\cos(x) = \sqrt{1 - \sin^2(x)}$

For example, if we were given an expression like $\sec^2(x)$, we could rewrite it as $\left(\frac{1}{\cos(x)}\right)^2$.

Similarly, if we were given an expression like $\frac{1}{\cos^2(x)}$, we could rewrite it as $\frac{1}{\left(\sqrt{1 - \sin^2(x)}\right)^2}$.

To fully simplify each expression, we would need to know the specific expressions given.