Question

Prove that: 1+sec theta- tan theta/1+sec theta+tan theta=1-sin theta/cos theta​

Answer 1

Solution :

Refer to the attachment.

Formula used :

1) Sec²A - Tan²A = 1

2) a² - b² = (a+b) ( a-b)

3) TanA = SinA/CosA

4) SecA = 1/CosA

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Extra formulas :

★ SinA = P/H

★ CosA = B/H

★ TanA = P/B

★ CosecA = H/P

★ SecA = H/B

★ CotA = B/P

Answer 2

Refers to attachments