Question
Download Solution PDFযদি sec β + tan β = 2 হয়, তাহলে cot β এর মান কত হবে?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFধারণা:
কিছু প্রয়োজনীয় সূত্র হল,
sec2 θ - tan2 θ = 1
tan θ =
গণনা:
আমরা জানি যে,
sec2 θ - tan2 θ = 1; যা এভাবে লেখা যায়,
(sec θ + tan θ)(sec θ - tan θ) = 1
Since,sec β + tan β = 2 ....(1)
আমরা উপরের সমীকরণটিকে লিখতে পারি,
⇒ (sec β - tan β ) =
eq(1) এবং eq(2) সমাধান করে আমরা পাই,
2 tan β = 2 -
⇒ tan β =
⇒ cot β =
∴ বিকল্প 3 হল সঠিক উত্তর।
Last updated on Jul 23, 2025
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