Question

tan theta / sec theta - 1 + tan theta / sec theta + 1 is equal to .? ​

Answer 1

Answer:

⇒ tan theta / sec theta - 1 + tan theta / sec theta + 1

Taking L.C.M

⇒$\frac{ tan theta(sec theta+1) + tan theta(sec theta-1)}{(sec theta-1)(sec theta+1)}$

$\frac{ tan theta sec theta+ tan theta + tan theta sec theta-tan theta)}{(sec^{2} theta-1)}\\\frac{2tan theta sec theta}{tan^{2}theta }\\\frac{2sectheta}{tantheta}\\\frac{\frac{1}{costheta} }{\frac{sintheta}{costheta} }\\\frac{1}{sintheta} \\cosectheta$

therefore cosec theta is the final answer