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Grade 9Trigonometry

Cot(theta)+cosec(theta)=2 , find the value of 1+cos(theta)/(1-cos(theta)). 2) cos(theta)-sin(theta)/(cos(theta)+sin(theta)=1-3^1/2/(1+3^1/2) find the value of (theta).

Profile image of Yash tripathi
10 Years agoGrade 9
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3 Answers

Profile image of Arif Hossain
10 Years ago
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Profile image of Arif Hossain
10 Years ago
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Profile image of Kushagra Madhukar
5 Years ago
Dear student,
Please find the answer to your question.
 
CotQ+cosecQ=2
Solving this we get, cosQ = 3/5 or – 1
Hence, 1 + cosQ/1 – cosQ = 4 or 0
 
(cosQ-sinQ)/(cosQ+sinQ)=1-3^1/2/(1+3^1/2)
On, simplifying, tanQ = 3½
or, Q = 60o
 
Thanks and regards,
Kushagra