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Question
Evaluate the following: `(5sec68°)/("cosec"22°) + (3sin52° sec38°)/(cot51° cot39°)`
Solution
`(5sec68°)/("cosec"22°) + (3sin52° sec38°)/(cot51° cot39°)`
= `(5sec(90° - 22°))/("cosec"22°) + (3sin52° sec(90° - 52°))/(cot51° cot(90° - 51°)`
= `(5cos22°)/("cosec"22°) + (3sin52° "cosec"52°)/(cot51° tan51°)`
= `5 + (3sin52° xx 1/(sin52°))/(cot51° xx 1/(cot51°)`
= `5 + (3)/(1)`
= 5 + 3
= 8.
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