Question

help please not getting it​

Answer 1

Step-by-step explanation:

⠀⠀⠀⠀LHS ↓

(sec A - tan A) / (sec A + tan A)

• Rationalising the above, we get.

(sec A - tan A)² / (sec A)² - (tan A)²

• (a - b)² = a² + b² - 2ab

[sec²A + tan²A - 2sec A tan A ] / sec²A - tan²A

• sec²A - tan²A = 1
• sec²A = 1 + tan²A

1 + tan²A + tan²A - 2sec A tan A

1 - 2sec A tan A + 2tan²A

⠀⠀⠀↑ RHS

⠀⠀⠀⠀LHS = RHS

⠀⠀⠀⠀⠀⠀⠀⠀⠀ _____HENCE PROVED✓✓⠀⠀⠀⠀