Verify the trigonometric identity:
{eq}\displaystyle \sec x (\tan x + \cot x) = \dfrac {\csc x} {\cos ^2 x} {/eq}.
Question:
Verify the trigonometric identity:
{eq}\displaystyle \sec x (\tan x + \cot x) = \dfrac {\csc x} {\cos ^2 x} {/eq}.
Trigonometric Identities:
When there are trigonometric expressions in both sides of an equality, it can be checked if the equality is true for both sides by using trigonometric identities in one side for the purpose of making this side resemble the other.
Answer and Explanation: 1
Become a Study.com member to unlock this answer! Create your account
View this answer{eq}\begin{align*} \sec x\left(\tan x+\cot x\right)&=\frac{\csc x}{\cos^2 x} \\ \\ \frac{1}{\cos x}\left(\frac{\sin x}{\cos x}+\frac{\cos x}{\sin...
See full answer below.
Learn more about this topic:
from
Chapter 23 / Lesson 1Learn to define basic trigonometric identities. Discover the double-angle, half-angle, and other identities. Learn how to use trigonometric identities. See examples.