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Evaluate the following : (i)(sin...

Evaluate the following :
(i)`(sin58^(@))/(cos32^(@))`
(ii) `(sec42^(@))/("cosec"48^(@))`
(iii)`(tan37^(@))/(cot53^(@))`

Text Solution

Verified by Experts

(i) `(sin58^(@))/(cos32^(@)) =(sin(90^(@)=32))/(cos32^(@))=(cos32^(@))/(cos32^(@))=1`
(ii) `(sec42^(@))/("cosec"48^(@))=(sec(90^(@)-48))/("cosec"48^(@))=("cosec"48^(@))/("cosec"48^(@))=1`
(iii) `(tan37^(@))/(cot53^(@))=(tan(90^(@)-53^(@)))/(cot53^(@))=(cot53^(@))/(cot53^(@))=1`
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