Question

general solution of sin squarex - cos x =1/4​

Answer 1

Answer:

Given:

• The equation is, sin²x-cosx=1/4

To find:

• The general solution.

Solution:

As we know that,

Sin²A+cos²A=1

In the equation,

sin²x-cosx=1/4

1-cos²x-cosx=1/4

4-4cos²x-4cosx=1

4cos²x+4cosx-4+1=0

4cos²x+4cosx-3=0

4cos²x+6cosx-2cosx-3=0

2cosx(2cosx+3)-1(2cosx+3)=0

2cosx=1, 2cosx=-3

cosx=1/2

x=2nπ±π/3

Step-by-step explanation:

Hope it helps u.....