If \(\tan x=2\), what is the value of \(\frac{\sin x}{\cos x}\)?
Advertisement
Answer and explanation
Correct answer: 2
By definition, \(\tan x=\frac{\sin x}{\cos x}\). Since \(\tan x=2\) is given, \(\frac{\sin x}{\cos x}=2\). The value \(\frac{1}{2}\) is the reciprocal and represents \(\cot x\), not \(\tan x\). Exam tip: Remember \(\tan x\) as \(\sin x/\cos x\).
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
By definition, \(\tan x=\frac{\sin x}{\cos x}\). Since \(\tan x=2\) is given, \(\frac{\sin x}{\cos x}=2\). The value \(\frac{1}{2}\) is the reciprocal and represents \(\cot x\), not \(\tan x\). Exam tip: Remember \(\tan x\) as \(\sin x/\cos x\).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.
Advertisement