Question

prove that (1+tan^2)(1+sin)(1-sin)=1​

Answer 1

Answer:

(1+tan²a)(1+sina)(1-sina)=(1+tan²a)(1-sin²a)=(1+tan²a)(cos²a)=(cos²a+tan²a.cos²a)=(cos²a+sin²a)=1 proved

Answer 2

Answer: See the picture

Step-by-step explanation: Firstly we replace (1+tan^2) with sec^2x since 1+tan^2x=sec^2x and then we replace (1+sin x)(1-sin x) with 1-sin^2x and in the third step we replace 1-sin^2x with cos^2x and if we multiply sec^2x with cos^2x the result is 1.