can you explain this in step by step **Verify the identity:**\[\frac{1}{1 + \sin \theta} + \frac{1}{1 - \sin \theta} = 2 + 2\tan^2 \theta.\]

Answered: Verify the identity: 1 1+ sin + 1…

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

See similar textbooks

Related questions

Question

can you explain this in step by step

**Verify the identity:**

\[
\frac{1}{1 + \sin \theta} + \frac{1}{1 - \sin \theta} = 2 + 2\tan^2 \theta.
\]

Expert Solution

Step 1: Given data

The given identity is,

$fraction numerator 1 over denominator 1 plus sin open parentheses theta close parentheses end fraction plus fraction numerator 1 over denominator 1 minus sin open parentheses theta close parentheses end fraction equals 2 plus 2 tan squared open parentheses theta close parentheses$