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

1 Answer
Hriman
Jul 25, 2018

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^@

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