Airforce X Y / Indian Navy SSR Exam > Airforce X Y / Indian Navy SSR Tests > JEE Advanced Level Test: Trigonometric Equations- 2 - Airforce X Y / Indian Navy SSR MCQ

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JEE Advanced Level Test: Trigonometric Equations- 2 - Question 1

If 20 sin^{2}θ + 21 cos θ – 24 = 0 & 7π/4 < θ < 2π then the values of cot θ/2 is

JEE Advanced Level Test: Trigonometric Equations- 2 - Question 2

The general solution of the equation tan x + tan + tan = 3 is

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JEE Advanced Level Test: Trigonometric Equations- 2 - Question 3

The general solution of the equation tan^{2} a + 2 √3 tan a = 1 is given by

JEE Advanced Level Test: Trigonometric Equations- 2 - Question 4

Total number of solutions of sin x . tan 4x = cos x belonging to (0, π) are

JEE Advanced Level Test: Trigonometric Equations- 2 - Question 6

If 2 tan^{2}x – 5 sec x – 1 = 0 has 7 different roots in , n ∈ N, then greatest value of n is

JEE Advanced Level Test: Trigonometric Equations- 2 - Question 7

The values of x between 0 and 2p which satisfy the equation sinx . = 1 are in A.P. The common difference of the A.P. is

JEE Advanced Level Test: Trigonometric Equations- 2 - Question 8

Equation of the form P (sinx ± cosx, sinx cosx) = 0 where P(y, z) is a polynomial, can be solved by the change :

cos x ± sin x = t ; 1 ± 2 sin x cos x = t^{2}. Reduce the given equation into P = 0

sin x + cos = 1 + sin x cos x is

JEE Advanced Level Test: Trigonometric Equations- 2 - Question 9

If (cos x – sin x) + 2 = 0, then x is

JEE Advanced Level Test: Trigonometric Equations- 2 - Question 10

sin^{4}x + cos^{4}x = sin x cos x then x is–

JEE Advanced Level Test: Trigonometric Equations- 2 - Question 11

The minimum value of 27^{cos2x }81^{sin2x} is

Detailed Solution for JEE Advanced Level Test: Trigonometric Equations- 2 - Question 11

JEE Advanced Level Test: Trigonometric Equations- 2 - Question 12

Number of roots of the equation cos^{7} x + sin^{4} x = 1 in the interval [0, 2π] is

JEE Advanced Level Test: Trigonometric Equations- 2 - Question 13

The smallest positive number of π for whcih the equation cos (π sin x) = sin (π cos x) has a solutionin [0, 2π] is

JEE Advanced Level Test: Trigonometric Equations- 2 - Question 14

If sin θ + 7 cos θ = 5, then tan (θ/2) is a root of the equation

JEE Advanced Level Test: Trigonometric Equations- 2 - Question 15

Match the following for number of solutions in [0, 2p]

Column - I Column - II

(A) sin^{2} q _ tan^{2} q = 1 (P) 2

(B) sin q + cos q = 1 (Q) 0

(C) tan q + sec q = 2cosq (R) 3

(D) 3sin^{2}q _ 4 sinq + 1 = 0 (S) 1

JEE Advanced Level Test: Trigonometric Equations- 2 - Question 16

What are the most general values of q which satisfy the equations,

(a) sin q = (b) tan (x _ 1) = (c) tanq = _1 (d) cosec q =

(e) 2cot^{2}q = cosec^{2}q

JEE Advanced Level Test: Trigonometric Equations- 2 - Question 17

If 0 < t < 2π and sin t = - 1, then t =

JEE Advanced Level Test: Trigonometric Equations- 2 - Question 18

Solve : cot q + tan q = 2 cosec q

JEE Advanced Level Test: Trigonometric Equations- 2 - Question 21

Solve : tan^{2}q _ (1 + ) tan q + = 0

JEE Advanced Level Test: Trigonometric Equations- 2 - Question 22

Find all the angles between 0º and 90º which satisfy the equation sec^{2}q . cosec^{2}q + 2 cosec^{2}q = 8

JEE Advanced Level Test: Trigonometric Equations- 2 - Question 23

Solve : 4 cos q _ 3 sec q = 2 tan q

JEE Advanced Level Test: Trigonometric Equations- 2 - Question 25

Solve : sin q + sin 3q + sin 5q = 0

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