secθ = 13/5 হলে sinθ এর মান কত?
Solution
Correct Answer: Option D
আমরা জানি, secθ = 1/cosθ
অতএব, cosθ = 1/secθ = 1/(13/5) = 5/13
আমরা আরও জানি, sin²θ + cos²θ = 1
সুতরাং, sin²θ = 1 - cos²θ
sin²θ = 1 - (5/13)²
sin²θ = 1 - 25/169
sin²θ = (169 - 25)/169
sin²θ = 144/169
sinθ = √(144/169)
sinθ = 12/13
অতএব, cosθ = 1/secθ = 1/(13/5) = 5/13
আমরা আরও জানি, sin²θ + cos²θ = 1
সুতরাং, sin²θ = 1 - cos²θ
sin²θ = 1 - (5/13)²
sin²θ = 1 - 25/169
sin²θ = (169 - 25)/169
sin²θ = 144/169
sinθ = √(144/169)
sinθ = 12/13
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