If  and  then tan θ is equal to:

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 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

45 Views

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

Advertisement
115.

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

  • 1

  • 2

  • 1/2

  • 1/4


Advertisement

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


Advertisement
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

40 Views

Advertisement
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

Advertisement