NDA · Mathematics
Trigonometric Ratios & Identities
100 practice questions for NDA — 70 easy · 27 medium · 3 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
Match List-I with List-II and select the correct answer using the code given below the lists : Code : $\begin{array}{llll}\text { A } & \text { B } & \text { C } & \text { D }\end{array}$
MCQ
Consider the following lists: Each item under List-I is associated with one or more items under List-II. (b) is associated with
MCQ
If $\sin \mathrm{A}=\frac{3}{5}$, where $450^{\circ} \lt \mathrm{A} \lt 540^{\circ}$, then $\cos \frac{\mathrm{A}}{2}$ is equal to
MCQ
If $\sec x=\frac{25}{24}$ and $x$ lies in the fourth quadrant, then what is the value of $\tan x+\sin x$ ?
MCQ
$\cos x+\sqrt{3}\sin x$ is maximum when $x$ is equal to
MCQ
For the following two (02) items: Let $p = \text{cosec}\, 20^{\circ}$ and $q = \text{cosec}\, 70^{\circ}$. What is $\left(\dfrac{\sqrt{3}\,p}{4} - \dfrac{q}{4}\right)$ equal to?
MCQ
Consider the following for the two (02) items that follow: Let $2\sin\alpha + \cos\alpha = 2$, where $0 < \alpha < 90^{\circ}$. What is $2\sin 2\alpha + \cos 2\alpha$ equal to?
MCQ
If $\theta$ lies in the fourth quadrant and $3\cot\theta+4=0$, then what is the value of $\sin 2\theta+\cos 2\theta$ ?
MCQ
Consider the following numbers: A. $\tan 22.5^{\circ}$ B. $\cot 22.5^{\circ}$ C. $\tan 22.5^{\circ}-\cot 22.5^{\circ}$ How many of the above are irrational numbers?
MCQ
Consider the following for the three (03) items that follow: Let $p = \tan 2\alpha - \tan\alpha$ and $q = \cot\alpha - \cot 2\alpha$. What is $(p/q)$ equal to?
MCQ
Consider the following for the three (03) items that follow: Let $p = \tan 2\alpha - \tan\alpha$ and $q = \cot\alpha - \cot 2\alpha$. What is $\tan^2\alpha$ equal to?
MCQ
If $2\sec 4\beta=\tan 2\alpha+\cot 2\alpha$, then which one of the following is a possible value of $(\alpha+\beta)$ ?