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Introduction to Trigonometry

Short Answer Type

71. Evaluate:
sin 38° - cos 52°.

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72. Evaluate:
sin 25° - cos 65°

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73. Evaluate:
cot 34° - tan 56°

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74. Evaluate:
cosec25°-sec65°.

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

cot 85° + cos 75°
= cot (90° - 5°) + cos (90° - 15°)
= tan 5° + sin 15°.

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

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77. Write the simplest value of

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

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78.

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

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79. What is the maximum value of

space 1 over secθ ?

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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?

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