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Trigonometry

Multiple Choice Questions

81.

The value of $cot space 10 degree. space cot space 20 degree. space cot space 60 degree. space cot space 70 degree. space cot space 80 degree$ is

1
-1
$square root of 3$
$square root of 3$

63 Views

82.

If $7 space sin squared straight theta space plus space 3 space cos squared straight theta space equals space 4 comma$ $0 degree less than straight theta less than 90 degree comma$ then the value of $tan space straight theta$ is:

$fraction numerator 1 over denominator square root of 2 end fraction$
$fraction numerator 1 over denominator square root of 3 end fraction$
$square root of 3 over 2 end root$
$square root of 3 over 2 end root$

53 Views

83.

If $sin space left parenthesis 2 straight a space plus space 45 degree right parenthesis space equals space cos space left parenthesis 30 degree space minus space straight a right parenthesis comma$ where 0° < a < 90°, then the value of a is

0°
15°
45°
45°

52 Views

84.

Value of (cos 53° - sin 37°) is

0
1
2sin37°
2sin37°

125 Views

85.

If $cosec space straight theta space plus space sin space straight theta space equals space 5 over 2$ , then the value of $cosec space straight theta space minus space sin space straight theta$ is

$negative 3 over 2$
$3 over 2$
$negative fraction numerator square root of 3 over denominator 2 end fraction$
$negative fraction numerator square root of 3 over denominator 2 end fraction$

75 Views

86.

If sec (4x - 50°) = cosec (50° - x), then the value of x is

45°
90°
30°
30°

159 Views

87.

If $tan space straight theta space equals space 4 over 3 comma$ then the value of $fraction numerator 3 space sinθ space plus space 2 space cosθ over denominator 3 space sinθ space minus space 2 space cosθ end fraction$ is

$1 half$
$1 1 half$
3
3

60 Views

88.

If cos²x + cos⁴x = 1, then tan²x + tan⁴x = ?

0
1
2tan²x
2tan²x

199 Views

89.
If cos 27° = x, then value of 63° is

$fraction numerator straight x over denominator square root of 1 minus straight x squared end root end fraction$
$fraction numerator straight x over denominator square root of 1 plus straight x squared end root end fraction$
$fraction numerator square root of 1 minus straight x squared end root over denominator straight x end fraction$
$fraction numerator square root of 1 minus straight x squared end root over denominator straight x end fraction$

fraction numerator straight x over denominator square root of 1 minus straight x squared end root end fraction

cos space 27 degree space equals space straight B over straight H space equals space straight x over 1

straight P squared space equals space straight H squared space minus space straight B squared space equals space 1 squared space minus space straight x squared straight P space equals space square root of 1 minus straight x squared end root space space space

tan space 63 degree space equals space tan space left parenthesis 90 degree space minus space 27 degree right parenthesis space equals space cot space 27 degree space equals space straight B over straight P space equals space fraction numerator straight x over denominator square root of 1 minus straight x squared end root end fraction

82 Views

90.

If θ is a positive acute angle and $7 space cos squared straight theta space plus space 3 space sin squared straight theta space equals space 4 comma$ then the value of θ is

60°
30°
45°
45°

89 Views

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Multiple Choice Questions

89. If cos 27° = x, then value of 63° is