Question

Given tan theta= 24/7 and sec theta=25/7, which of the following can be proven using a Pythagorean identity?

Answer 1

Explanation

In trigonometry,

$1+tan^2\theta=sec^2\theta$

Since we know;

$tan\theta=\frac{24}{7}\text{ }and\text{ }sec\theta=\frac{25}{7}$

Therefore, the Pythagorean identity will be transformed to give

$1+(\frac{24}{7})^2=(\frac{25}{7})^2$

Answer: Option D