Question

Equations and Graphs of Trigonometric Functions. Determine the solutions to the equation 4sin2(x+45)=3 over the interval 0<x<360 Algebreically?

Answer 1

See below

Explanation:

`sin^2(x+45^@)=3/4`

Let `x+45^@` be equal to `u`

`sin^2u= 3/4`

`sinu=+-sqrt3/2`

`u=60^@+-180^@n, 120^@+-180^@n`

`x= 15^@, 75^@, 195^@, 255^@`