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Question
Evaluate:
`(5sin66^@)/(cos24^@) - (2cot85^@)/(tan5^@)`
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Solution
`(5sin66^@)/(cos24^@)-(2cot85^@)/(tan5^@)`
= `(5sin(90^@ - 24^@))/(cos24^@) - (2cot(90^@ - 5^@))/(tan5^@)`
= `(5cos24^@)/(cos24^@) - (2tan5^@)/(tan5^@)`
= 5 – 2
= 3
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