List of top Mathematics Questions on Trigonometry asked in MET

In a triangle, the lengths of two larger sides are 10 cm and 9 cm. If the angles are in AP, then the third side is

If \( a\cos^3\alpha + 3a\cos\alpha\sin^2\alpha = m \) and \( a\sin^3\alpha + 3a\cos^2\alpha\sin\alpha = n \), then \( (m+n)^{2/3} + (m-n)^{2/3} \) is equal to

If \( \tan \frac{\alpha}{2} \) and \( \tan \frac{\beta}{2} \) are the roots of \( 8x^2 - 26x + 15 = 0 \), then \( \cos(\alpha + \beta) \) is

If \( \tan^{-1}\left(\frac{a}{x}\right) + \tan^{-1}\left(\frac{b}{x}\right) = \frac{\pi}{2} \), then \( x \) is equal to

\( \cos^{-1}\{\cos 2\cot^{-1}(\sqrt{2}-1)\} \) is equal to

If \( \sin^{-1} a + \sin^{-1} b + \sin^{-1} c = \pi \), then the value of \( a\sqrt{1-a^2} + b\sqrt{1-b^2} + c\sqrt{1-c^2} \) will be

If \( \cos^2 A + \cos^2 C = \sin^2 B \), then \( \triangle ABC \) is