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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°

15°

sin space left parenthesis 2 straight alpha space plus space 45 degree right parenthesis space equals space cos space left parenthesis 30 degree space minus space straight alpha right parenthesis

sin space left parenthesis 2 straight alpha space plus space 45 degree right parenthesis equals space space sin left square bracket 90 degree minus left parenthesis 30 degree minus straight alpha right parenthesis right square bracket space space space space space 2 straight alpha space plus space 45 degree space equals space 90 degree space minus space 30 degree space plus space straight alpha space space space space space 2 straight alpha space plus space 45 degree space equals space 60 degree space plus space straight alpha space space space space space space space space space space space space space straight alpha space equals space space space 60 degree space minus space 45 degree space space space space space space space space space space space space space straight alpha space space equals space 15 degree

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