sech - 1sinθ = ? from Mathematics Trig

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 Multiple Choice QuestionsMultiple Choice Questions

241.

sinA + sinB = 3cosB - cosA sin3A + sin3B = ?

  • 0

  • 2

  • 1

  • - 1


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242.

sech - 1sinθ = ?

  • logtanθ2

  • logsinθ2

  • logcosθ2

  • logcotθ2


D.

logcotθ2

We have, sech - 1sinθ                           = cosh - 1cscθ                          = logcscθ + csc2θ - 1                          = logcotθ2


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243.

If two angles of  ABC are 45° and 60°, then the ratio of the smallest and the greatest sides are

  • 3 - 1 : 1

  • 3  : 2

  • 1 : 3

  • 3 : 1


244.

In  ABC,  a +b+ ctanA2 + tanB2 is equal to

  • 2ccotA2

  • 2acotA2

  • 2bcotB2

  • tanC2


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245.

In ABC, with usual notation, observe the two statements given below :

I rr1r2r3 = 2II r1r2  + r2r3 + r3r1 = s2Which of the following is correct ? 

  • Both I and II are true

  • I is true, II is false

  • I is false, II is true

  • Both I and II are false


246.

3csc20° - sec20° is equal to

  • 2

  • 2sin20° - csc40°

  • 4

  • 4sin20° . csc40°


247.

If A = 35°, B = 15° and C = 40°, then tan(A) · tan(B) + tan(B) . tan(C) + tan(C) . tan(A) is equal to

  • 0

  • 1

  • 2

  • 3


248.

If tanθ + tanθ + π3 + tanθ + 2π3 = 3, then which of the following is equal to 1 ?

  • tan2θ

  • tan3θ

  • tan2θ

  • tan3θ


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249.

If α + β + γ = 2θ, then cosθ + cosθ - α + cosθ - β + cosθ - γ = ?

  • 4sinα2 . cosβ2cosγ2

  • 4sinα2 . sinβ2sinγ2

  • 4cosα2 . cosβ2 . cosγ2

  • 4sinα . cosβ . cosγ


250.

x  R : cos2x + 2cos2x = 2 = ?

  • 2 + π3 : n  Z 

  •  ± π6 : n  Z 

  •  + π3 : n  Z 

  • 2 - π3 : n  Z 


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