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

2 Answers

6 votes

Answer:

cos 77=0.225

Explanation:

sin 77=0.974

User Stomped
by
7.4k points
2 votes

Answer:

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.

User Ace Dimasuhid
by
7.8k points

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