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Introduction to Trigonometry

Short Answer Type

71. Evaluate:
sin 38° - cos 52°.

100 Views

72. Evaluate:
sin 25° - cos 65°

128 Views

73. Evaluate:
cot 34° - tan 56°

191 Views

74. Evaluate:
cosec25°-sec65°.

258 Views

75. Express cot 85° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°.

144 Views

76. Express trigonometric ratio sin A in terms of cot A.

107 Views

77. Write the simplest value of

fraction numerator cos squared straight theta over denominator sinθ end fraction plus sinθ.

88 Views

78.

Evaluate: $fraction numerator 2 space sin squared 63 degree plus 1 plus 2 sin squared 27 degree over denominator 3 cos squared 17 degree minus 2 plus 3 cos squared 73 degree end fraction.$

101 Views

79. What is the maximum value of

space 1 over secθ ?

153 Views

80.
If $tanA space equals space 3 over 4$ and $straight A plus straight B space equals space 90 degree$ , then what is the value of cot B?

It is given that: $tanA space equals space 3 over 4$ ...(i)
and A + B = 90°
⇒ A = 90° - B ...(ii)
Putting the value of (ii) in (i), we get
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$rightwards double arrow$ $cotB space equals space 3 over 4.$ Ans.