Important Questions of Trigonometry Quantitative Aptitude | Zigya

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11.

The value of following is
3 left parenthesis sin to the power of 4 straight theta space plus space cos to the power of 4 straight theta right parenthesis space plus space 2 left parenthesis sin to the power of 6 straight theta space plus space cos to the power of 6 straight theta right parenthesis space plus space 12 space sin squared space cos squared straight theta

  • 2

  • 5

  • 3

  • 3

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12.

If secθ plus space tanθ space equals space 2 plus square root of 5 comma then the value of sinθ is left parenthesis 0 degree less-than or slanted equal to straight theta less-than or slanted equal to 90 degree right parenthesis

  • fraction numerator square root of 3 over denominator 2 end fraction
  • fraction numerator 1 over denominator square root of 5 end fraction
  • fraction numerator 2 over denominator square root of 5 end fraction
  • fraction numerator 2 over denominator square root of 5 end fraction
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13.

The value of left parenthesis secθ space plus space cosecθ right parenthesis spacewhen straight theta space equals space 45 degree is

  • 3 square root of 2
  • 4 square root of 2
  • 2 square root of 2
  • 2 square root of 2
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14. fraction numerator tan squared straight theta over denominator secθ plus 1 end fraction minus secθ is equal to
  • -1

  • 1

  • 0

  • 0

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15. sin to the power of 6 straight theta plus cos to the power of 6 straight theta is equal to 
  • 1 minus 3 sin squared θcos squared straight theta
  • 1 minus 3 sinθ space cosθ
  • 1 plus 3 sin squared θcos squared straight theta
  • 1 plus 3 sin squared θcos squared straight theta
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16.

If tanθ plus cotθ space equals space 2 comma space space space 0 less than straight theta less than 90 degree comma then the value of straight theta is

  • 30 degree
  • 45 degree
  • 60 degree
  • 60 degree
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17.

The expression of 1 plus fraction numerator cot squared straight A over denominator 1 plus cosecA end fraction is equal to

  • sin A

  • cos A

  • tan A

  • tan A

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18.

Given that tan left parenthesis straight theta plus 15 degree right parenthesis space space equals space square root of 3. Then the value of straight theta is:

  • 15 degree
  • 75 degree
  • 45 degree
  • 45 degree
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19.

If sec squared straight theta space plus space tan squared straight theta space equals space square root of 3, then the value of sec to the power of 4 straight theta space minus space tan to the power of 4 straight theta is

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

  • square root of 3
  • square root of 3
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20.

If straight pi space sin space straight theta space equals space 1 comma space space straight pi space cosθ space equals space 1 comma space then the value of open curly brackets square root of 3 tan open parentheses 2 over 3 straight theta close parentheses plus 1 close curly brackets is

  • 1

  • square root of 3
  • 2

  • 2

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