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Class 12 Mathematics Trigonometric Functions Trigonometric functions and their propertiesMediumLevel 71

If (\sec x+\tan x=3), what is the value of (\sec x)?

Answer and explanation

Correct answer: (\frac{5}{3})

Since (\sec x-\tan x=\frac{1}{3}). Adding both equations gives (2\sec x=3+\frac{1}{3}), so (\sec x=\frac{5}{3}).

Tags

secanttangentidentity

Frequently asked questions

What is the correct answer to this question?

(\frac{5}{3})

Why is this the correct answer?

Since (\sec x-\tan x=\frac{1}{3}). Adding both equations gives (2\sec x=3+\frac{1}{3}), so (\sec x=\frac{5}{3}).

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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