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Question
Evaluate: `(2sin 68)/cos 22 - (2 cot 15^@)/(5 tan 75^@) - (8 tan 45^@ tan 20^@ tan 40^@ tan 50^@ tan 70^@)/5`
Solution
sin 68° = sin (90 - 22) = cos 22
cot 15° = tan (90 - 75) = tan 75
`2. cos 22/cos 22 - (2 tan 75^@)/(5 tan 75^@) - (3 tan 45^@ tan 20^@ tan 40^@ cot 40^@ cot 20^@)/5`
`= 2 - 2/5 - 3/5 = 2 - 1 = 1`
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