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If tan theta =1/2 evaluate 2sin theta +3cos TV theta / 4cos theta +3 sin theta |
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Answer» TION.tan∅ = 1/2.As we KNOW that,By USING Pythagorean theorem, we get.⇒ H² = P² + B².tan∅ = Perpendicular/Base.⇒ tan∅ = 1/2 = p/b.⇒ H² = (1)² + (2)².⇒ H² = 1 + 4.⇒ H² = 5.⇒ H = √5.Sin∅ = Perpendicular/hypotenuse = 1/√5.Cos∅ = Base/Hypotenuse = 2/√5.tan∅ = perpendicular/base = 1/2.cosec∅ = hypotenuse/perpendicular = √5/1.sec∅ = hypotenuse/base = √5/2.cot∅ = base/perpendicular = 2/1. |
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