If sinθ = - 12 and tanθ

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 Multiple Choice QuestionsMultiple Choice Questions

11.

What is the value of tan75° + cot75°

  • 2

  • 4

  • 23

  • 43


12.

What is the value of cos46°cos47°cos48°cos49°cos50° ... cos135° = ?

  •  - 1

  • 0

  • 1

  • Greater than 1


13.

If sin2θ = cos3θ, where 0 < θ < π2, then what is sinθ = ?

  • 5 + 14

  • 5 - 14

  • 5 + 116

  • 5 - 116


14.

If the roots of the equation x2 + px + q = 0 are tan(190) and tan(26°), then which one of the following is correct?

  • q - p = 1

  • p - q = 1

  • p + q = 2

  • p + q = 3


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15.

what is 1 + tanαtanβ2 + tanα - tanβ2 - sec2αsec2β = ?

  • 0

  • 1

  • 2

  • 4


16.

If p = cscθ - cotθ and q = cscθ - cotθ - 1, then which one of the following is correct?

  • pq = 1

  • p = q

  • p + q = 1

  • p + q = 0


17.

What is the least value of 25cosec2(x) + 36sec2(x) ?

  • 1

  • 11

  • 120

  • 121


18.

If sinθ + cosθ = 2cosθ, then what is cosθ - sinθ = ?

  •  - 2cosθ

  •  - 2sinθ

  • 2sinθ

  • 2sinθ


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19.

If sinθ = - 12 and tanθ = 13, Then in which quadrant does θ lie ?

  • First

  • Second

  • Third

  • Fourth


C.

Third

sinθ is negative in  and   quadrant and positive in  and  quadrant.

Possible values of the given expression is  degrees and  degrees. in  to  degrees.
 
 is positive in  and  quadrant.
 
Therefore by above two statements, theta lies is  quadrant.


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20.

If sinx = 15, siny = 110, where 0 < x < π2, 0 < y <  π2, then what is x + y = ?

  • π

  • π2

  • π4

  • 0


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