Math, asked by syedshakeelahmed271, 11 months ago

Prove Tan ø + Sec ø - 1 / Tan ø - Sec ø + 1 = 1 + Sin ø / Cos ø.

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Answered by sandy1816

4

Step-by-step explanation:

tanA+secA-1/tanA-secA+1

=(tanA+secA-1)(tanA+SecA)/{(tanA-SecA)+1}(tanA+secA)

=(tanA+secA-1)(tanA-secA)/tan²A-sec²A+tanA+secA

=(tanA+secA-1)(tanA+secA)/ -1+tanA+secA

=tanA+secA

=sinA/cosA+1/cosA

=1+sinA/cosA

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