Evaluate:sin 25° - cos 65° from Mathematics Introduction to T

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 Multiple Choice QuestionsShort Answer Type

71. Evaluate:
sin 38° - cos 52°.
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72. Evaluate:
sin 25° - cos 65°


sin 25° - cos 65°.
                     = sin (90° - 65°) - cos 65°
                     = cos 65° - cos 65° = 0.

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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°.
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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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