Question

(1+sin a -cos a)/(1+sin a+cos a) = tan a/2

can any one solve step by step process
it's from class 10 trigonometry sub-multiple angles chapter

please solve as fast as possible
step by step please
no spam please ​

Answer 1

Answer:

ya i can do

Step-by-step explanation:

S = Cos A/(1+ sin A) + (1+ sin A)/cos A  

= begin mathsize 16px style fraction numerator cosA over denominator 1 plus sinA end fraction plus fraction numerator 1 plus sinA over denominator cosA end fraction end style

= begin mathsize 16px style fraction numerator cos squared straight A plus open parentheses 1 plus sinA close parentheses squared over denominator cosA open parentheses 1 plus sinA close parentheses end fraction end style

= begin mathsize 16px style fraction numerator cos squared straight A plus 1 plus 2 sinA plus sin squared straight A over denominator cosA open parentheses 1 plus sinA close parentheses end fraction end style

= begin mathsize 16px style fraction numerator 1 plus 1 plus 2 sinA over denominator cosA open parentheses 1 plus sinA close parentheses end fraction end style

= begin mathsize 16px style fraction numerator 2 open parentheses 1 plus sinA close parentheses over denominator cosA open parentheses 1 plus sinA close parentheses end fraction end style