Question

Both cos(17°) and sin(x°) can be represented by the ratio response area. the angles measuring 17° and x° are complementary angles. this means x° 17° = response area. therefore, x = response area. since cos(17°)=sin(x°), this also shows that cos(17°)=sin(response area)°.

Answer 1

To find the value of x given that sin(x°) = cos(17°) and x° and 17° are complementary angles, you subtract 17° from 90° to get x = 73°, showing that cos(17°) equals sin(73°).

Step-by-step explanation:

The student's question pertains to the relationship between complementary angles and their sine and cosine values. In a right-angled triangle, if two angles are complementary, they add up to 90 degrees. Since cos(17°) and sin(x°) represent the same ratio and are given to be equal, and the angles are complementary, we have x° + 17° = 90°. Thus, to find the value of x, we subtract 17 degrees from 90 degrees, which gives us x = 73°. Therefore, we can assert that cos(17°) = sin(73°), demonstrating the cofunction identity between sine and cosine for complementary angles.