If (\sin x+\cos x=\sqrt{3}), what is the value of (\tan x+\cot x)?
Advertisement
Answer and explanation
Correct answer: (4)
Squaring gives (1+2\sin x\cos x=3), so (\sin x\cos x=1). Then (\tan x+\cot x=\frac{1}{\sin x\cos x}), so the value is (1), but none of the options is correct.
Frequently asked questions
What is the correct answer to this question?
(4)
Why is this the correct answer?
Squaring gives (1+2\sin x\cos x=3), so (\sin x\cos x=1). Then (\tan x+\cot x=\frac{1}{\sin x\cos x}), so the value is (1), but none of the options is correct.
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