यदि sec θ + tan θ = 5 है, जिसमें (θ ≠ 0) है, तब sec θ का मान निम्नलिखित में से किसके बराबर है?

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 4)
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प्रयुक्त सूत्र:

sec θ + tan θ = 1/(sec θ - tan θ)

गणना

यदि sec θ + tan θ = 5 है, तब:

sec θ - tan θ = 1/5

उपरोक्त दोनों को जोड़ने पर, हमें प्राप्त होता है:

⇒ 2 sec θ = 5 + 1/5

⇒ sec θ = 1/2(5 + 1/5)

sec θ का मान  है। 

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