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101.
If θ is positive acute angle and 4 sin²θ = 3, then the value of $tan space straight theta space minus space cot space straight theta over 2$ is

1

0

$square root of 3$

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

4 sin²θ = 3
$sin squared straight theta space equals space 3 over 4 sin space straight theta space equals space fraction numerator square root of 3 over denominator 2 end fraction sin space straight theta space equals space sin space 60 degree space space space space straight theta space space equals space 60 degree space space space$
$therefore space space tanθ space minus space cot straight theta over 2 space equals space tan space 60 degree space minus space cot space fraction numerator 60 degree over denominator 2 end fraction space space space space space space space space space space space space space space space space space space space space space space space space equals space tan space 60 degree space minus space cot space 30 degree space space space space space space space space space space space space space space space space space space space space space space space space equals space square root of 3 space minus space square root of 3 space equals space 0$

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102.

If $straight r space sin space straight theta space equals space 7 over 2$ and $straight r space cos space straight theta space equals space fraction numerator 7 square root of 3 over denominator 2 end fraction$ then the value of θ is

30°
45°
60°
75°

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103.

If $tan space straight theta space equals space 1 comma$ then the value of $fraction numerator 8 space sin space straight theta space plus space 5 space cos space straight theta over denominator sin cubed straight theta space minus space 2 cos cubed straight theta space plus space 7 cosθ end fraction$ is

1
3
2
$1 half$

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104.

If $sin space 31 degree space equals space straight x over straight y$ , the value of $sec space 31 degree space minus space sin space 59 degree$ is

$fraction numerator straight x squared over denominator straight y square root of straight y squared minus straight x squared end root end fraction$
$negative fraction numerator straight x squared over denominator straight y square root of straight y squared minus straight x squared end root end fraction$
$negative fraction numerator straight y squared over denominator square root of straight y squared minus straight x squared end root end fraction$
$negative fraction numerator straight x squared over denominator square root of straight y squared minus straight x squared end root end fraction$

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105.

If sinA + sin²A = 1, what is the value of cos² + cos⁴A = ?

$1 half$
1
2
3

45 Views

106.

ABC is a right angled triangle with $angle straight A space equals space 90 degree.$ Then the value of cos²A + cos²B + cos²C is:

47 Views

107.

The value of cosec²60° + sec²60° - cot²60° + tan²30° will be

5
$5 1 half$
$5 1 third$
$5 2 over 3$

90 Views

108.

If sin θ + cosec θ = 2, the value of sinⁿθ + cosecⁿθ is

2n
$2 to the power of 1 over straight n end exponent$
2
0

65 Views

109.

The value of $sec squared 17 degree space minus space fraction numerator 1 over denominator tan squared 73 degree end fraction space minus space sin space 17 degree space space sec space 73 degree$ is

1
0
-1
2

58 Views

110.

If $straight x space equals space straight a space cos space straight theta space cosÏ• comma space space space straight y space equals space straight a space cos space straight theta space sin space straight Ï• space space space and space space straight z space equals space straight a space sin space straight theta comma$ then the value of x² + y² + z² is