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Find the value of the expression sec...

Find the value of the expression
`sec610^@cosec160^@-cot380^@tan470^@`

Text Solution

Verified by Experts

The correct Answer is:
-1
`sec610^@cosec160^@-cot380^@tan470^@`
`=sec(720^@-110^@)cosec(180^@-20^@)`
`-cot(360^@+20^@)tan(360^@+110^@)`
`=1/(cos110^@). 1/(sin20^@)-cot20^@tan110^@`
`= (-1)/sin^2 20^@+cot^2 20^@`
`=-[cosec^2 20^@-cot^2 20^@]`
`=-1`
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