Right triangle, cos and sin

Question

In right triangle XYZ, sinX=cos20°. What is the measure, in degrees, of angle x?

Answer 1

Although a right triangel is given the following indentity is not restricted to right triangles:

sin x = cos (90° - x)

Answer 2

Since you have a Right triangle

Angle x = (90 - 20)= 70

You can use a calculator to confirm that sin(70°) = cos(20°)

Also you can use a calculator to get cos(20°) then use sin^-1 for that value to get the angle, give it a try.

Hope this helps.