Question

Express (sin ${85}^{\circ }$ + cosec ${85}^{\circ }$) in terms of trigonometric ratios of angles between $0^{\circ }$ and ${45}^{\circ }$.

Answer 1

(sin ${85}^{\circ }$ + cosec ${85}^{\circ }$) = sin ( ${90}^{\circ }$ - $5^{\circ }$) + cosec ( ${90}^{\circ }$ - $5^{\circ }$) = (cos $5^{\circ }$ + sec $5^{\circ }$).