Question

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

Answer:

(Sin²2A)/4

Step-by-step explanation:

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

(1-sin²A) (1-cos²A)

Cos²A.Sin²A

(2SinA.CosA)²/4

(Sin2A)²/4

(Sin²2A)/4

Answer 2

Answer:

${tan}^{2} a$

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

Step-by-step explanation:

w.k.t

(1+sina)(1-sina)=

$1 - {sin}^{2} a$

similarly in case of cosa

so

$1 - {sin}^{2} a \div 1 - {cos}^{2} a$

and w.k.t

$1 - {sin}^{2} a = {cos}^{2} a$

and

$1 - {cos}^{2} a = {sin}^{2} a$

so

${cos}^{2} a \div {sin}^{2} a = {tan}^{2} a$

so the required answer is

${tan}^{2} a$