Verified by Ajay Kumar
If secx − tanx = 1/√3, then the value of secx × tanx is:
2/3
4/√3
2/√3
4/3
Answer: A
Using \((secx-tanx)(secx+tanx)=1\), \(secx+tanx=\sqrt{3}\). Adding and subtracting the equations gives \(secx=2/\sqrt{3}\) and \(tanx=1/\sqrt{3}\). Therefore, \(secx \times tanx=2/3\).
यदि secx − tanx = 1/√3 है, तो secx × tanx का मान ज्ञात करें।
2/3
4/√3
2/√3
4/3
उत्तर: A
सूत्र \((secx-tanx)(secx+tanx)=1\) से \(secx+tanx=\sqrt{3}\)। दोनों समीकरणों को जोड़ने और घटाने पर \(secx=2/\sqrt{3}\) और \(tanx=1/\sqrt{3}\) मिलता है। अतः \(secx \times tanx=2/3\)।
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