Question

prove that
$(1 + tan ^{2} )(1 + sin)(1 - sin) = 1$
please send photo explanation​

Answer 1

Here’s your answer..

Answer 2

Answer:

Explanation:

To Prove :

• (1 + tan²A) (1 + sinA) (1 - sinA) = 1

Formula to be used :

• 1 + tan²A = sec²A
• cos²A = 1 - sin²A
• a² - b² = (a + b) (a - b)
• sec²A = 1/cos²A

Proof :

LHS

(1 + tan²A) (1 + sinA) (1 - sinA)

=> (sec²A) (1² - sin²A)

=> (1/cos²A) (1 - sin²A)

=> (1/cos²A) (cos²A)

=> (cos²A/cos²A)

=> 1

RHS

• Hence Proved!!