[" 10."(tan theta)/(sec theta-1)+(tan theta)/(sec theta+1)" is equal to "],[[" (a) "2tan theta," (w) "]]

tan2 theta(sec8 theta-1)=tan8 theta(sec4 theta-1)

(tan theta)/(sec theta-1)+(tan theta)/(sec theta+1)=2cos ec| theta

(1+sec theta - tan theta)/(1+sec theta + tan theta)=

(1+sec theta-tan theta)/(1+sec theta+tan theta)=

(tan theta)/(sec theta-1)+(tan theta)/(sec theta+1) is equal to 2tan theta(b)2sec theta(c)2cos ec theta(d)2tan theta sec theta

(cot theta)/((1-sin theta) (sec theta + tan theta)) is equal to:

tan theta+(1)/(tan theta)=sec theta cosec theta

(tan theta)/(sec theta+1)+(sec theta+1)/(tan theta)=2cos ec theta

Prove that (tan theta)/(sec theta -1)+ (tan theta)/(sec theta +1) = 2 cosec\ theta

(cot theta)/((1-sin theta)(sec theta + tan theta)) is equal to :