Question

Which is larger, the cosine of 77 degrees or the sine of 77 degrees?

Answer 1

cos 77=0.225

Explanation:

sin 77=0.974

Answer 2

sin 77° > cos 77°

Explanation:

The cosine of 77 degree,
`\cos 77^\circ`

The sine of 77 degree,
`\sin 77^\circ`

In I quadrant sine and cosine both positive.

But sine is increasing curve and cosine is decreasing curve.

The intersection of sine and cosine at 45°

sin 45° = cos 45°

After intersection, if angle is increasing the value of sine is more than cosine.

• sin 77° > sin 45° ( because sine is increasing)

• cos 77° < cos 45° ( because cosine is decreasing )

But sin 45° = cos 45°

Therefore, sin 77° > cos 77°

Hence, sine of 77 degree is larger than cosine 77 degree.