Short Quiz - Chapter 3 Class 11 Trigonometric Functions

Question 1 of 5

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Which of the following is not correct?

A \(\sin \theta=-\frac{1}{5}\) B \(\cos \theta=1\) C \(\sec \theta=\frac{1}{2}\) D \(\tan \theta=20\)

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Question 2 of 5

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If \(f(x)=\cos ^2 x+\sec ^2 x\), then

A \(f(x)<1\) B \(f(x)=1\) C \(2<f(x)<1\) D \(f(x) \geq 2\) [

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Question 3 of 5

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If \(\tan \theta=3\) and \(\theta\) lies in third quadrant, then the value of \(\sin \theta\) is

A \(\frac{1}{\sqrt{10}}\) B \(-\frac{1}{\sqrt{10}}\) C \(\frac{-3}{\sqrt{10}}\) D \(\frac{3}{\sqrt{10}}\)

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Question 4 of 5

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The value of \(\tan 75^{\circ}-\cot 75^{\circ}\) is equal to

A \(2 \sqrt{3}\) B \(2+\sqrt{3}\) C \(2-\sqrt{3}\) D 1

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Question 5 of 5

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The value of \(\sin \frac{\pi}{10} \sin \frac{13 \pi}{10}\) is

A \(\frac{1}{2}\) B \(-\frac{1}{2}\) C \(-\frac{1}{4}\) D 1

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Class 6