Question

If 0 deg < x <90 deg and 2sin^2 x + cos^2 x = 25/16. what is the value of sinx?

Answer 1

2 sin^2x + cos^2x = sin^2x + sin^2x + cos^2x
But we know that sin^2x + cos^2x = 1 (Pythagorean Identity)
So the expression is equal to sin^2x + 1 = 25/16
Lets solve for sin x.
Subtract 1 from both sides, we get
sin^2x = 9/16
sin x = sqrt(9/16)
sin x = 3/4So where is the sin 3/4?
Use your calculator to find 49 degrees to the nearest degree.

Answer 2

@Easyaspi314 Thank you!

Answer 3

welcome.