If sinθ 32, then the general value of &theta

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151.

The value of tan57° - tan12° - tan57°tan12° is

  • tan69°

  • tan45°

  • 0

  • None of these


152.

If a and b are two vectors of magnitude 2 inclined at an angle 60°, then the angle between a and a + b is

  • 30°

  • 60°

  • 45°

  • None of these


153.

The angle of elevation of the Sun, when the shadow of the pole is 3 times the height of the pole, is

  • 60°

  • 45°

  • 15°

  • 30°


154.

The curves x = y2 and xy = k cut at right angles, if k2 is equal to

  • 1

  • 0

  • 18

  • 8


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155.

If sinθ 32, then the general value of θ is

  •  + - 1nπ3

  • 2 ± π6

  • 2 ± π3

  •  + - 1nπ6


A.

 + - 1nπ3

Given, sinθ 32 sinθ = sinπ3       θ =  + - 1nπ3

which represent the value of θ.


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156.

The value of tan9° - tan27° - tan63°° + tan31° is

  • 3

  • 2

  • 8

  • 4


157.

If sinθ = 12 and where, θ is an obtuse angle, then cotθ is equal to

  • - 13

  • - 3

  • 13

  • 3


158.

A man is standing on the horizontal plane. The angle of elevation of top of the pole is α. If he walks a distance double the height of the pole, then the elevation of the pole is 2α. The value of α is

  • π12

  • π4

  • π3

  • π6


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159.

The value of sin(50°) cos (10°) + cos(50°) sin(10°) is

  • 12

  • 3

  • 32

  • 1


160.

The least value of a, for which the function a 4sinx + 11 - sinx has at east one solution in the interval 0, π2, is

  • 9

  • 4

  • 5

  • 1


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