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Trigonometry

Multiple Choice Questions

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

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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

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

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

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

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

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

$sin space 31 degree space equals space straight x over straight y$

$sec space 31 degree space minus space sin space 59 degree space equals space fraction numerator 1 over denominator cos space 31 degree end fraction space minus space sin space left parenthesis 90 degree minus 31 degree right parenthesis space space open square brackets because space sin space left parenthesis 90 degree minus straight theta right parenthesis equals space space cos space straight theta close square brackets$
$equals space fraction numerator 1 over denominator cos space 31 degree end fraction space minus space cos space 31 degree equals space fraction numerator 1 over denominator square root of 1 minus sin squared 31 degree end root end fraction space minus space square root of 1 minus sin squared 31 degree end root equals space fraction numerator 1 over denominator square root of 1 minus begin display style straight x squared over straight y squared end style end root end fraction space minus space square root of 1 minus straight x squared over straight y squared end root equals space fraction numerator 1 minus 1 space plus space begin display style straight x squared over straight y squared end style over denominator square root of begin display style fraction numerator straight y squared minus straight x squared over denominator straight y squared end fraction end style end root end fraction space equals space fraction numerator begin display style straight x squared over straight y squared end style over denominator square root of begin display style fraction numerator straight y squared minus straight x squared over denominator straight y squared end fraction end style end root end fraction space equals space fraction numerator straight x squared over denominator straight y square root of straight y squared minus straight x squared end root end fraction$

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105.

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

$1 half$
1
2
3

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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

2a²
4a²
9a²
a²

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Previous Year Papers

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Multiple Choice Questions

104. If , the value of is