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Trigonometry Revision for JEE

42+ syllabus-aligned questions available

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Revise Trigonometry by covering every subtopic once, drilling formulas, then solving 42+ timed MCQs with full solutions.

Use this Trigonometry revision checklist before mocks and the final exam. Reinforce concepts with 42+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

  1. 1.Trigonometric identities
  2. 2.Inverse trig functions and properties
  3. 3.Trigonometric equations basics
  4. 4.Revise Trigonometrical identities and trigonometrical functions with 10 MCQs
  5. 5.Revise Inverse trigonometrical functions and their properties with 10 MCQs

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Subtopics in Trigonometry

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Q1MathsUnit 14: Trigonometry
Assertion Consider f(x)=sin⁡−1(sec⁡(tan⁡−1x)+\boldsymbol{f}(\boldsymbol{x})=\sin ^{-1}\left(\sec \left(\tan ^{-1} \boldsymbol{x}\right)+\right. cos⁡−1(cosec⁡(cot⁡−1x)\cos ^{-1}\left(\operatorname{cosec}\left(\cot ^{-1} x\right)\right. Statement-1: Domain of f(x)f(x) is a singleton. Reason Statement-2: Range of the function f(x)\boldsymbol{f}(\boldsymbol{x}) is a singleton.
Q2MathsUnit 14: Trigonometry
The number of real solutions of the equation tan⁡−1x(x+1)+\tan ^{-1} \sqrt{x(x+1)}+ sin⁡−1x2+x+1=π2\sin ^{-1} \sqrt{x^{2}+x+1}=\frac{\pi}{2} is
Q3MathsUnit 14: Trigonometry
A=cos⁡200cos⁡400cos⁡600cos⁡800\mathbf{A}=\cos 20^{0} \cos 40^{0} \cos 60^{0} \cos 80^{0} B=cos⁡60cos⁡420cos⁡660cos⁡780\mathbf{B}=\cos 6^{0} \cos 42^{0} \cos 66^{0} \cos 78^{0} C=cos⁡360cos⁡720cos⁡1080cos⁡1440\mathbf{C}=\cos \mathbf{3} \mathbf{6}^{\mathbf{0}} \cos \mathbf{7} \mathbf{2}^{\mathbf{0}} \cos \mathbf{1 0} \mathbf{8}^{\mathbf{0}} \cos \mathbf{1} \mathbf{4} \mathbf{4}^{\mathbf{0}}
Q4MathsUnit 14: Trigonometry
The measures of the angles of a triangle are in the ratio 4:5:9.4: 5: 9 . The triangle is:
Q5MathsUnit 14: Trigonometry
If value of x\mathbf{x} which satisfy equation (cot⁡−1x)2−3(cot⁡−1x)+2>0\left(\cot ^{-1} x\right)^{2}-3\left(\cot ^{-1} x\right)+2>0 is x<x< cot⁡a\cot a or x>cot⁡bx>\cot b Find the value of a+ba+b
Q6MathsUnit 14: Trigonometry
ln⁡ΔABC,BC=AB\ln \Delta A B C, B C=A B and ∠B=80∘\angle B=80^{\circ} Then ∠A\angle A is equal to
Q7MathsUnit 14: Trigonometry
Two line segments ABA B and ACA C include an angle of 60060^{0} where AB=5cmA B=5 \mathrm{cm} and ACA C =7cm.=7 \mathrm{cm} . Locate points P\mathrm{P} and Q\mathrm{Q} on AB\mathrm{AB} and AC,A C, respectively such that AP=34A P=\frac{3}{4} ABA B and AQ=14AC.A Q=\frac{1}{4} A C . Join PP and QQ and measure the length PQ.
Q8MathsUnit 14: Trigonometry
Statement I: The equation (sin⁡−1x)3+(cos⁡−1x)3−aπ3=0\left(\sin ^{-1} x\right)^{3}+\left(\cos ^{-1} x\right)^{3}-a \pi^{3}=0 has solution for all a⩾132a \geqslant \frac{1}{32} Statement II : For any xϵR,sin−1x+\boldsymbol{x} \boldsymbol{\epsilon} \boldsymbol{R}, \boldsymbol{s} \boldsymbol{i n}^{-1} \boldsymbol{x}+ cos⁡−1x=π2\cos ^{-1} x=\frac{\pi}{2} and 0≤(sin⁡−1x−π4)2≤0 \leq\left(\sin ^{-1} x-\frac{\pi}{4}\right)^{2} \leq 9π216\frac{9 \pi^{2}}{16}

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Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.

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