Question

prove that :- sec(1-sin a)(sec a + tan a) = 1​

Answer 1

Step-by-step explanation:

sec(1-sina)(sec a+tan a) = 1

we write everything in term of sinA and cosA

1/cosA(1-sinA)(1/cosA+sinA/cosA)

(1-sinA)/cosA (1+sinA)/cosA

(1square-sinsquareA)/cossquareA

(1-sinsqaureA)/cossquareA

cossquareA/cossquareA

= 1