Math Chapter Wise

EnglishTGT 2005

Q181.3 5 7 9 tan tan tan tan tan 20 20 20 20 20 π is equal to:

A1 B– 1 C1/2 DNone of these

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EnglishTGT 2005

Q182.The general value of θ satisfying the equation 2 2sin 3sin 2 0 θ − θ − = θ − θ − = θ − θ − = θ − θ − = is:

A(1) / 6 n nπ + − π B(1) / 2 n nπ + − π C(1) 5 / 6 n nπ + − π D(1) 7 / 6 n nπ + − π

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EnglishTGT 2005

Q183.2 2 b c cosB cosC − + ∑ ∑ is equal to:

A0 B5 CR D∆

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EnglishTGT 2005

Q184.If a ∆ ∆ ∆ABC, b = 3 +1, c = 3 –1, ∠ ∠ ∠A = 60°, then the value of 1 tan (B C) 2 − − is:

A2 B1/2 C1 D3

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EnglishTGT 2005

Q185.In a ∆ ∆ ∆ABC, 1 1 tan (A B).cot (A B) 2 2 + − + − is equal to:

Aa b − + Ba b c + C−a b/+ D2() a b − +

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EnglishTGT 2005

Q186.If 3, 3, 3 3 are the sides of a triangle, then the angles of the triangle are:

A,, 6 3 2 π B,, 6 4 12 π C2,, 6 6 3 π DNone of these

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EnglishTGT 2005

Q187.If an angle θ is divided in to two parts in such a way that the tangent of one part, is K time of the tangent of the other part and φ is equal to the difference of the two parts. then sinθ will be equal to?

Ak 1 sin k 1 + φ − Bk 1 sin k 1 − φ + C2k 1 sin 2k 1 − φ + DNone of these

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EnglishTGT 2005

Q188.What is the time period of ((())) ((()) f x tan 3x 2 = + will be:

Aπ B2 3 π C3/π DNone of these

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EnglishTGT 2005

Q189.The value of 1 1 3 4 tan sin cos 5 5 − − is equal to:

A24/7 B−24/7 C7/24 D−7/24

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EnglishTGT 2005

Q190.If the value of θ in the second quadrant, then the value of 1 1 − + + + − sin sin sin sin θ will be:

A2 secθ B–2 secθ C2 cosecθ D1

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EnglishTGT 2005

Q191.If m sinθ = n sin (θ+2α) then tan (θ +α) cot α is equal to:

A1 n − + B−m n/+ Cm n − + DNOT

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EnglishTGT 2004

Q192.Given 3sinθ + 5cosθ = 5, then the value of (3cosθ –5sinθ)2 is equal to

A9 B9/5 C1/3 D1/9

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EnglishTGT 2004

Q193.The equation 6sin2 θ– 5sinθ +1 = 0 is satisfied by:

Aθ = 2 π Bθ = 3 π Cθ = 4 π Dθ = 6 π

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EnglishTGT 2004

Q194.The value of tan5° ° °tan10° ° °tan15° ° °tan20° ° °....tan85° ° ° is

A1 B2 C3 Dinfinity

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EnglishTGT 2004

Q195.The value of sin 105° ° ° is

A−3 1/2 2 B−3 1/2 C3 1 2 2 + D3 1 2 +

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EnglishTGT 2004

Q196.If α and β are angles in the first quadrant, tan α = 1 7, sinβ 1 10 = then value of (α + 2β) is

A0° B30° C45° D60°

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EnglishTGT 2004

Q197.If b tan θ = a, then value of asin bcos asin bcos θ− θ + θ + θ + θ + θ is

A−a b/+ B2 2 a b + − C2 2 a b − + Da b − +

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