Question

If θ represents an angle such that sin2θ = tanθ -cos2θ, then sinθ-cosθ =?

Answer 1

I suspect that this question is written incorrectly. In any case, the answer is (E).

To see this, you can use the graphing features on your graphing calculator. Press Y=, and under Y1= put the left side of the equation, and under Y2= put the right side of the equation. Press ZOOM 7 to get a standard trig window. Now under Calc, press INTERSECT, find the first point of intersection greater than 0. If you are in degree mode you should get x to be about 61.11. Compute sin(61.11)-cos(61.11) to get approximately .3924.

Now use the INTERSECT feature again to get the second point of intersection, about 118 for x. Then sin(118)-cos(118) is about 1.35.

Answer 2

It cant be determined

Answer 3

why?

Answer 4

read what i wrote