Question

sin${75}^{\circ }+sec{75}^{\circ }$ can be expressed in terms of angles between $0^{\circ }$ and ${45}^{\circ }$

• A. $sin{15}^{\circ }+sec{15}^{\circ }$
• B. $cos{15}^{\circ }+sec{15}^{\circ }$
• C. $cos{15}^{\circ }+cosec{15}^{\circ }$
• D. $sin{15}^{\circ }+cosec{15}^{\circ }$

Answer 1

The correct option is C $cos{15}^{\circ }+cosec{15}^{\circ }$

$\sin 75°+\sec 75°$

$=\sin (90°-15°)+\sec (90°-15°)$

$=\cos 15°+cosec15°$

Hence, the answer is $\cos 15°+cosec15°.$