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Trigonometrical identities and trigonometrical functions Mock Test for JEE

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Part of Trigonometry in JEE Main Mathematics.

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Q1MathsUnit 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}}
Q2MathsUnit 14: Trigonometry
The measures of the angles of a triangle are in the ratio 4:5:9.4: 5: 9 . The triangle is:
Q3MathsUnit 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
Q4MathsUnit 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.
Q5MathsUnit 14: Trigonometry
The terminal arm is in II quadrant, what are the measures of possible angles?
Q6MathsUnit 14: Trigonometry
If tan⁡θ=xsin⁡ϕ1−xcos⁡ϕ,tan⁡ϕ=\tan \theta=\frac{x \sin \phi}{1-x \cos \phi}, \tan \phi= ysin⁡θ1−ycos⁡θ,\frac{y \sin \theta}{1-y \cos \theta}, then xy=\frac{x}{y}=
Q7MathsUnit 14: Trigonometry
If 1−sin⁡A1+sin⁡A+sin⁡Acos⁡A=1cos⁡A,\sqrt{\frac{1-\sin A}{1+\sin A}}+\frac{\sin A}{\cos A}=\frac{1}{\cos A}, for all permissible values of A,A, then AA belongs to This question has multiple correct options
Q8MathsUnit 14: Trigonometry
If two triangles are −−−_{--}- they are similar.
Q9MathsUnit 14: Trigonometry
What is the length of arc AB making angle of 1260126^{0} at center of radius 8?8 ?
Q10MathsUnit 14: Trigonometry
An angle which is equal to 360∘360^{\circ} is called 一一一一一一一 _{\text {一一一一一一一 }} angle.
Q11MathsUnit 14: Trigonometry
The line making an angle (−120∘)\left(-120^{\circ}\right) with xx -axis is situated in the :
Q12MathsUnit 14: Trigonometry
If one angle of a triangle equals the sum of the other two angles, the triangle must be:
Q13MathsUnit 14: Trigonometry
From the top of a cliff 24mt24 \mathrm{mt} height, a man observes the angle of depression of a boat is to be 60∘.60^{\circ} . The distance of the boat from the foot of the cliff is
Q14MathsUnit 14: Trigonometry
If Sin⁡2A+Cos⁡2B+Sin⁡2C=1,\operatorname{Sin}^{2} A+\operatorname{Cos}^{2} B+\operatorname{Sin}^{2} C=1, then the triangle ABCA B C is
Q15MathsUnit 14: Trigonometry
Maximum value of rr where c2r2=\frac{c^{2}}{r^{2}}= a2sin⁡2θ+b2cos⁡2θ\frac{\mathbf{a}^{2}}{\sin ^{2} \theta}+\frac{b^{2}}{\cos ^{2} \theta} where c,a,bc, a, b are constants is

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