If (\sec x-\tan x=\frac{2}{5}), what is the value of (\tan x)?

Question

Answer and explanation

Correct answer: (\frac{21}{20})

Since ((\sec x-\tan x)(\sec x+\tan x)=1), (\sec x+\tan x=\frac{5}{2}). Subtracting the two equations gives (\tan x=\frac{21}{20}).

What is the correct answer to this question?

(\frac{21}{20})

Why is this the correct answer?

Since ((\sec x-\tan x)(\sec x+\tan x)=1), (\sec x+\tan x=\frac{5}{2}). Subtracting the two equations gives (\tan x=\frac{21}{20}).

Which subject and chapter does this question cover?

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