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# Find the value of sin 37°, sin 53°, tan 37°, tan 53° in terms of the fraction.

We can use complementary relations to find the values.

## Answer: sin 37° = 3/5, sin 53° = 4/5, tan 37° = 3/4, tan 53° = 4/3

Let's proceed step by step.

**Explanation:**

Let's analyze the figure given below.

This is the case when angle = 37° or 53°

cos A = base / hypotenuse

So, cos 53° = 3/5 and cos 37° = 4/5

sin 90 - A = cos A

cos 53° = sin 37 and cos 37° = sin 53°

tan A = perpendicular / base

tan 37° = 3/4

tan 53° = 4/3

### Thus, the values are sin 37° = 3/5, sin 53° = 4/5, tan 37° = 3/4, tan 53° = 4/3

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