Math, asked by Anonymous, 1 year ago

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utsavmjoshi: i can slove it

Answers

Answered by siddhartharao77
10

Step-by-step explanation:

Note: For the better understanding,I am replacing θ with A.

Now,

Given:\frac{sinA-cosA+1}{sinA+cosA-1}

On rationalizing we get

=\frac{sinA-cosA+1}{sinA+cosA-1}*\frac{sinA+cosA+1}{sinA+cosA+1}

=\frac{sin^2A+sinAcosA+sinA-sinAcosA-cos^2A-cosA+sinA+cosA+1}{(sinA+cosA)^2-1}

=\frac{sin^2A+1-cos^2A+sinA+sinA}{sin^2A+cos^2A+2sinAcosA-1}

=\frac{sin^2A+sin^2A+2sinA}{1+2sinAcosA-1}

=\frac{2sin^2A+2sinA}{2sinAcosA}

=\frac{2sinA(1 + sinA)}{2sinAcosA}

=\frac{1+sinA}{cosA} * \frac{1-sinA}{1-sinA}

=\frac{1-sin^2A}{cosA(1-sinA)}

=\frac{cos^2A}{cosA(1-sinA)}

=\boxed{\frac{cosA}{1-sinA}}

Hope it helps!


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Answered by KJB811217
2

Answer:

refers to the attachment

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