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Class 12 · Mathematics

What is the range of the function (3\sin 2x-1)?

Class 12 · Mathematics

What is the minimum value of the function (2+5\cos x)?

Class 12 · Mathematics

A student states that the minimum value of \(y=2+\cos x\) is 0. What is the correct reason for the error in this argument?

Class 12 · Mathematics

What is (\frac{1+\cos x}{\sin x}) equal to?

Class 12 · Mathematics

What is (\frac{\sin x}{1-\cos x}) equal to?

Class 12 · Mathematics

If (\cosec x+\cot x=6), what is the value of (\cosec x-\cot x)?

Class 12 · Mathematics

If \(\sec x-\tan x=\frac{1}{4}\), what is the value of (\sec x+\tan x)?

Class 12 · Mathematics

If (\tan x+\cot x=5), what is the value of (\tan^2 x+\cot^2 x)?

Class 12 · Mathematics

If (\sin x+\cos x=\frac{6}{5}), what is the value of the square of (\sin x-\cos x)?

Class 12 · Mathematics

If \(\sin x-\cos x=\frac{1}{2}\), what is the value of \(\sin x\cos x\)?

Class 12 · Mathematics

If (\sin x+\cos x=\frac{3}{2}), what is the value of ((\sin x-\cos x)^2)?

Class 12 · Mathematics

What is (\frac{\sin x}{1+\cos x}) equal to?

Class 12 · Mathematics

What is (\frac{1-\cos x}{1+\cos x}) equal to?

Class 12 · Mathematics

How can (\frac{1+\sin x}{1-\sin x}) be written in terms of (\sec x) and (\tan x)?

Class 12 · Mathematics

What is the simplified value of (\frac{1+\tan^2 x}{1+\cot^2 x})?

Class 12 · Mathematics

What is the simplified value of (\sin^4 x-\cos^4 x)?

Class 12 · Mathematics

If \(\cosec x-\cot x=\frac{1}{3}\), what is the value of (\cosec x+\cot x)?

Class 12 · Mathematics

Which of the following functions is not defined for all real values of its variable?

Class 12 · Mathematics

If (\sec x=2) and (\tan x=\sqrt{3}), what is the value of (\frac{\sec x+\tan x}{\sec x-\tan x})?

Class 12 · Mathematics

If (\tan x=3), what is the value of (\frac{\sin x+\cos x}{\sin x-\cos x})?