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Cartesian Product

Cos a + cos b...

Question

Cos a + cos b - cos ( a+ b) = 1.5 then which of the following is true ? 1] , a+ b = 0 2], a= 2b 3], a= b 4], 2a= b

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A + B + C = \frac{3 π}{2}

cos 2 A + cos 2 B + cos 2 C + 4 sin A sin B sin C = 0

A + B + C = 0

sin 2 A + sin 2 B + sin 2 C + 4 sin A sin B sin C = 0

A + B + C = 180^{\circ}

cos 2 A + cos 2 B + cos 2 C = 1 - 4 cos A cos B cos C

A + B + C = 0^{\circ}

cos A + cos B + cos C = - 1 + 4 cos \frac{A}{2} cos \frac{B}{2} cos \frac{C}{2}

A + B + C = π

{sin}^{4} A + {sin}^{4} B + {sin}^{4} C = \frac{3}{2} + 2 cos A cos B cos C + \frac{1}{2} cos 2 A cos 2 B cos 2 C

Q. Find roots of the following cubic equation :

2 x^{3} - 3 x^{2} c o s (A - B) - 2 x c o s^{2} (A + B) + s i n 2 A . s i n 2 B c o s (A - B) = 0.

Q. Assertion (A): If

A + B + C = 180^{\circ}

{cos}^{2} A + {cos}^{2} B + {cos}^{2} C = 1 - 2 c o s A cos B cos C

.
Reason (R): If

A + B + C = 180^{\circ}

cos 2 A + cos 2 B + cos 2 C = - 1 - 4 cos A cos B cos C

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