In a right angled triangle UVW right agngled at W, if sin U = sinV , then show yhat angle - Maths - Introduction to Trigonometry

Question

In a right angled triangle UVW right agngled at W, if sin U = sinV
, then show yhat angle U= angle V

Neha Sethi · Accepted Answer

Dear student
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Consider a right △UVW, ∠UWV=90°Now, sinU=VWUV     sinx=Side opposite to the angleHypotenuseand sinV=UWUVGiven ,sinU=sinV⇒VWUV=UWUV⇒VW=UW⇒∠U=∠V     Equal sides have equal angles opposite to them
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In a right angled triangle UVW right agngled at W, if sin U = sinV , then show yhat angle U= angle V