Question

Use fundamental identities to find the value. Step by step can u explain.

Answer 1

To answer this question, we will use the following diagram as reference:

To determine the tangent of θ, we have to find the value of x.

To find x, we use the Pythagorean theorem and get:

`4^2=3^2+x^2.`

Therefore:

`x=√(4^2-3^2)=\sqrt[]{7}.`

Therefore:

`\tan \theta=\frac{3}{\sqrt[]{7}}.`

Answer:

`\tan \theta=\frac{3}{\sqrt[]{7}}.`