Question
Download Solution PDFजर x = Sin A + Cos A आणि y = Sec A + Cosec A असेल तर खालीलपैकी कोणते विधान खरे आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
x = Sin A + Cos A
y = Sec A + Cosec A
वापरलेले सूत्र:
आपल्याला माहित आहे:
गणना:
x चे वर्ग करा:
⇒ x2 = (Sin A + Cos A)2
⇒ x2 = Sin2 A + Cos2 A + 2Sin A x Cos A
⇒ x2 = 1 + 2Sin A x Cos A
⇒ (x2 - 1)/2 = Sin A x Cos A ...........(i)
y चे वर्ग करा:
⇒ y = 1/Cos A + 1/Sin A
⇒ y = (Sin A + Cos A)/SinACosA
वरील माहितीमधून मूल्य ठेवा,
⇒ y = x/[(x2 - 1)/2]
⇒ y = 2x/(x2 - 1)
⇒ y(x2 - 1) = 2x
⇒ yx2 - y = 2x
⇒ x2y = 2x + y
∴ पर्याय 1 योग्य आहे.
Last updated on Jun 17, 2025
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