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 Multiple Choice QuestionsMultiple Choice Questions

111.

If tan space straight theta space plus space cot space straight theta space equals space 2 then the value of tan to the power of straight n straight theta space plus space cot to the power of straight n straight theta is

  • 2n

  • 2 to the power of straight n over 2 end exponent

  • 2 to the power of 1 half end exponent

  • 2

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112.

If cos x = sin y and cot (x - 40°) = tan (50° - y), then the value of x and y are:

  • x = 70°,  y = 20°

  • x = 75°,  y = 15°

  • x = 85°,   y = 5°

  • x = 80°,  y = 10°

84 Views

113.

If tan space left parenthesis straight alpha space minus space straight beta right parenthesis space equals space 1 comma sec open parentheses straight alpha space plus space straight beta close parentheses space equals space fraction numerator 2 over denominator square root of 3 end fraction and straight alpha comma space straight beta are positive then the smallest value of straight alpha is

  • 142 fraction numerator 1 degree over denominator 2 end fraction

  • 187 fraction numerator 1 degree over denominator 2 end fraction

  • 7 fraction numerator 1 degree over denominator 2 end fraction

  • 37 fraction numerator 1 degree over denominator 2 end fraction

60 Views

114.

The value of tan 315° cot (-405°) is equal to

  • -1

  • 1

  • 0

  • 2

112 Views

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115.

If sin A + sin2A = 1  then what is the value of cos2A + cos4A?

  • 1

  • 2

  • 1/2

  • 1/4


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116.

If 5 space sin squared straight theta space plus space 4 space cos squared straight theta space equals space 9 over 2 and 0 less than straight theta less than straight pi over 2 then tan θ is equal to:

  • 1

  • 0

  • -1

  • 1/4


A.

1

5 sin squared straight theta space plus space 4 cos squared straight theta space equals space 9 over 2
rightwards double arrow space space space 4 sin squared straight theta space plus space 4 cos squared straight theta space plus space sin squared straight theta space equals space 9 over 2
rightwards double arrow space space space space 4 left square bracket sin squared straight theta space plus space cos squared straight theta right square bracket space plus space sin squared straight theta space equals space 9 over 2
rightwards double arrow space space 4 space plus space sin squared straight theta space equals space 9 over 2
rightwards double arrow space space space space sin squared straight theta space equals space 9 over 2 minus 4
rightwards double arrow space space space space sin squared straight theta space equals space 1 half
rightwards double arrow space space sin space straight theta space equals space fraction numerator 1 over denominator square root of 2 end fraction
rightwards double arrow space space sin space straight theta space equals space sin space 45 degree
space space space space space space space space space space straight theta space equals space 45 degree
therefore space space tan space straight theta space equals space tan space 45 degree space equals space 1


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117.

If 5 tan θ = 4,  then the value of open parentheses fraction numerator 5 space sin space straight theta space minus space 3 space cos space straight theta over denominator 5 space sin space straight theta space plus space 3 space cos space straight theta end fraction close parentheses is

  • 1 over 7

  • 2 over 7

  • 5 over 7

  • 2 over 5

29 Views

118.

If tan (x + y) tan (x - y) = 1,  then the value of tan open parentheses fraction numerator 2 straight x over denominator 3 end fraction close parentheses is

  • fraction numerator 1 over denominator square root of 3 end fraction

  • fraction numerator 2 over denominator square root of 3 end fraction

  • square root of 3

  • 1

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119.

If sin θ + sin2θ = 1,  then the value of cos12 θ + 3 cos 10 θ + 3 cosθ + cosθ - 1 is

  • 0

  • 1

  • -1

  • 2

50 Views

120.

If x, y are positive acute angles x + y < 90° and sin (2x - 20°) = cos (2y + 20°), then the values of sec (x + y) is

  • square root of 2

  • fraction numerator 1 over denominator square root of 2 end fraction

  • 1

  • 0

33 Views

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