prove that √1+sin θ/1-sin θ+√1-sin θ/1 + sin θ =2sec θ
prove that √1+sin θ/1-sin θ+√1-sin θ/1 + sin θ =2sec θ
t yogesh , 8 Years ago
Grade 10
Trigonometry> prove that √1+sin θ/1-sin θ+√1-sin θ/1 + ...
2 Answers
Arun
On taking LCM
1 + sin
+ 1 - sin/(
(1-sin)(1+ sin)
= 2/(1 - sin²)
= 2/ cos
= 2 sec
Hence proved
Happy learning
Kushagra Madhukar
Dear student,
Please find the solution to your problem.
On taking LCM
[(1 + sinθ) + (1 – sinθ)] / [√(1 – sinθ)(1 + sinθ)]
= 2/√(1 – sin²θ)
= 2/cosθ
= 2secθ
Hence proved
Thanks and regards,
Kushagra
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