Question
Download Solution PDFजर sin (A + B) = \(\frac{\sqrt{3}}{2}\) आणि tan (A – B) = 1. A आणि B चे मूल्य काय आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFवापरलेले सूत्र:
sin 60° = \(\frac{\sqrt{3}}{2}\)
tan 45° = 1
गणना:
दिलेले आहे की,
sin (A + B) = \(\frac{\sqrt{3}}{2}\)
⇒ sin (A + B) = sin 60°
∴ A + B = 60° ----(1)
तसेच, दिलेले आहे की
tan (A – B) = 1
⇒ tan (A – B) = tan 45°
∴ A – B = 45° ----(2)
समीकरण (1) आणि (2) ची बेरीज करुया
2 A = 105
⇒ A = 52.5
समीकरण (1) मधून, आपल्याला मिळेल
B = 7.5
Last updated on Jun 18, 2025
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