Math Chapter Wise

EnglishKVS PGT 2023

Q21.Value of cos20° cos40° cos60° cos80° is:

A1/2 B1/4 C1/8 D1/16

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EnglishNVS PGT 2022

Q22.Find real values of θ such that 3 2isin 1 2isin + θ − θ is purely real.

Aθ = nπ, n∈z Bθ = (n + 1)π, n∈z Cn,n z 2 π θ = ∈ D() n 1,n z 2 + π θ = ∈

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EnglishNVS PGT 2022

Q23.The maximum value of sin x cos x 6 6 π + + + in the interval 0, 2 π is attained at the following value of x:

A12/π B6/π C3/π D4/π

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EnglishNVS PGT 2022

Q24.o o cos30 sin30 cos30 sin30 − + is equal to:

Atan 15° Btan 30° Ctan 45° Dtan 60°

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EnglishNVS PGT 2022

Q25.The smallest positive angle satisfying the equation cos2 θ−2sinθ+ 1 4 = 0 is:

A30° B45° C60° D90°

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EnglishKVS PGT 2022

Q26.Solution of the trigonometric equation cosx = 3 2 − is:

A5 6 π B5 2n 6 π ± C5 2n 6 π + D−6/π

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EnglishKVS PGT 2022

Q27.The number of real solutions of the equation 1 1 cos2x 2 cos (cosx)in, 2 − π + = π is:

A0 B1 C2 DInfinite

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EnglishOAVS TGT 2022

Q28.If 1 cosec cot 3 θ + θ =, then θ lies in the quadrant:

AIII BIV CI DII

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EnglishOAVS TGT 2022

Q29.If A B 4 π + =, then (1 + tanA)(1 + tanB)=________.

A2tanAtanB B2 CtanA D1/2

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EnglishOAVS TGT 2022

Q30.The value of () 2 2 sin29 1 4 cos 31 cos 59 tan27 sin60 tan63 cos61 3 ° − ° + ° + ° ° ° ° is:

A−5/2 B10 C1/2 D–5

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EnglishOAVS TGT 2022

Q31.If x = a cosecθ + b cotθ and y = b cosecθ + a cotθ, then what will be the value of x2 –y2?

Aa + b Ba2/+ b2 C0 Da2/– b2

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EnglishOAVS TGT 2022

Q32.If sin θ = 4 5 − and 3 2 π < θ <, then sec θ= ____.

A1/4 B−5/4 C−5/3 D−1/5

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EnglishOAVS TGT 2022

Q33.Eliminate θ from x = cot θ + tan θ and y = sec θ – cos θ:

A2 2 3 3 (x y) (xy) 1 + = B2 2 3 3 (x y) (xy) 1 + = C2 2 3 3 (x y) (xy) 1 − = D2 2 x y 1 + =

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EnglishDSE TGT 2022 KVS TGT 2017

Q34.Greatest value of Sin A. Cos A

A1 B0.5 C1.5 D0

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EnglishDSE TGT 2022

Q35.Maximum Value of sin A +cos A

A1 B2 C2 D1/2

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EnglishDSE TGT 2022

Q36.Gregory series gives the expansion of

Alogarithmic function Btangent function Cinverse tangent function Dexponential function

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EnglishDSE TGT 2022

Q37.What is the value of the expression given below? cos1º.cos2º.cos3º.cos4º.........cos90º

A1 B90 C45 D0

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EnglishDSE TGT 2022

Q38.π radians is equivalent to

A60 B180 C90 D45

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EnglishDSE TGT 2022

Q39.Simplify: sin 2A/(1–cos 2A)

Atan A Bcot A Csec A Dcosec A

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EnglishDSE TGT 2022

Q40.One of the general solutions of sin x + sin3x = sin2x is

Anπ Bnπ/4 Cnπ/6 Dnπ/2

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