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Quantitative Aptitude : 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

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

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