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Grade 12Trigonometry

Could someone please help me the question in the photo?

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Profile image of Kickbutowski
7 Years agoGrade 12
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2 Answers

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ApprovedApproved Tutor Answer7 Years ago
Dear student
 
There is no photo attached. Please check and repost the image.I will be happy to help you.
Profile image of Arun
7 Years ago
Sorry there was an error that I could not see the attached image.

(cotA+cosecA-1)/(cotA-cosecA+1)

=(cotA+cosecA-1)²/(cotA+cosecA-1)(cotA-cosecA+1)

=(Cot²A+cosec²A+1+2cotAcosecA-2cotA-2cosecA)/(cot²A-cosec²A-1+2cosecA)

={2cosec²A-2cosecA+2cotA(cosecA-1)}/(2cosecA-2)

={2cosecA(cosecA-1)+2cotA(cosecA-1)}/2(cosecA-1)

=2(cosecA-1)(cosecA+cotA)/2(cosecA-1)

=cosecA+cotA

= (1 + cos theta) / sin theta