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# If tan x° = z/10 and cos x° = 10/y, what is the value of sin x°?

**Solution:**

The problem can be pictorially represented as:

The trigonometric ratios which are used to solve the above problem are :

tanθ° = sinθ°/cosθ° --- (1)

Using equation (1) we can state

tanx° = sinx°/cos x° = z/10 --- (2)

Given cosx° = 10/y and substituting the value of cosx° in equation (2) we have

⇒ sinx°/10/y = z/10

⇒ sinx° = z/10 × 10/y = z/y

## If tanx° = z/10 and cosx° = 10/y, what is the value of sinx°?

**Summary:**

If tanx° = z/10 and cosx° = 10/y, then the value of sin x° is z/y.

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