Hey PF!(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

Find exact solutions for the following equations over the domain 0 ≤ x <2π

2sinx = 3 + 2cscx

2. Relevant equations

sin^{2}+cos^{2}=1

3. The attempt at a solution

2sinx = 3 + 2cscx

2sinx = 3 +2(1/sinx)

sinx = 3/2 + 1/sinx

sinx - 1/sinx = 3/2

(1-1-cos^{2}x)/sinx = 3/2

-cos^{2}x/sinx = 3/2

cos^{2}x/sinx = -3/2

I am perplexed by this question. Where do I go from here? How do I solve this equation?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Solving Equations Using Trigonometric Identities

**Physics Forums | Science Articles, Homework Help, Discussion**