Question

The value of $\cos {35}^{\circ }\sec {55}^{\circ }\tan {35}^{\circ }$ is

Answer 1

$cos{35}^{0}sec{55}^{0}tan{35}^0$

$=cos{35}^0\times \left(\frac{1}{cos{55}^0}\right)\times \tan {35}^0$

$=cos{35}^0\times \left(\frac{1}{sin{35}^0}\right)\times \tan {35}^0$

$=cot{35}^0\times \tan {35}^0=1$