In \( \triangle A B C \), if \( \sin ^{2} A+\sin ^{2} B=\sin ^{2} C \), then \( \angle C= \)

JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1

\triangle A B C

, if

\sin ^{2} A+\sin ^{2} B=\sin ^{2} C

, then

\angle C=

View answer and explanation

Correct option: D

90^{\circ}

Option D (90°) is correct because the given equation sin²(A) + sin²(B) = sin²(C) implies a² + b² = c², which is the Pythagorean theorem, indicating that angle C is 90 degrees.

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