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If (\sin x=\frac{3}{5}) and (x) lies in the first quadrant, what is the value of (\tan x)?

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Answer and explanation

Correct answer: ( \frac{3}{4} )

We get (\cos x=\frac{4}{5}), so (\tan x=\frac{\sin x}{\cos x}=\frac{3}{4}). In exams, decide the sign from the quadrant.

Tags

trigonometric-functionsquadranttangent

Frequently asked questions

What is the correct answer to this question?

( \frac{3}{4} )

Why is this the correct answer?

We get (\cos x=\frac{4}{5}), so (\tan x=\frac{\sin x}{\cos x}=\frac{3}{4}). In exams, decide the sign from the quadrant.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.

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