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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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If two angles of a triangle are 45∘45^\circ and tan⁡−1(2){\tan ^{ - 1}}\left( 2 \right), then the third angle is
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Correct option: C
tan⁡−13{\tan ^{ - 1}}3
Option C (tan⁡−13{\tan ^{ - 1}}3) is correct because, in a triangle, the sum of all angles is π\pi radians, and using trigonometric identities, the third angle can be found to be tan⁡−13{\tan ^{ - 1}}3.

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