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Mathematics

Find angle 'A' if :

Find angle 'A' if : Solution of Right Triangles, Concise Mathematics Solutions ICSE Class 9.

Trigonometric Identities

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Answer

sin A=PerpendicularHypotenusesin A=10210sin A=12sin A=sin 45°\text{sin A} = \dfrac{Perpendicular}{Hypotenuse}\\[1em] ⇒ \text{sin A} = \dfrac{\dfrac{10}{\sqrt2}}{10}\\[1em] ⇒ \text{sin A} = \dfrac{1}{\sqrt2}\\[1em] ⇒ \text{sin A} = \text{sin 45°}

Hence, A = 45°.

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