MHT-CET

Trigonometrical Equations question bank (Mathematics)

Practice 234 free MHT-CET Mathematics - Trigonometrical Equations questions with answers and step-by-step solutions.

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Q1.

If $ABC$ is a triangle of area $\Delta$ with $a = 2$, $b = \frac{7}{2}$, $c = \frac{5}{2}$, where $a, b, c$ are the lengths of the sides of the triangle opposite to angles $A, B$ and $C$ respectively, then $\frac{2 \sin A - \sin 2A}{2 \sin A + \sin 2A}$ is equal to...

(A)

$\frac{3}{4\Delta}$

(B)

$(\frac{3}{4\Delta})^2$

(C)

$\frac{45}{4\Delta}$

(D)

$(\frac{45}{4\Delta})^2$

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Q2.

With usual notations, in $\triangle ABC$, if $2a^2 = b^2 + c^2$, then $\frac{\cos 3A}{\cos A} + 2 =$

(A)

$\frac{b^2 - c^2}{2bc}$

(B)

$(\frac{b^2 - c^2}{2bc})^2$

(C)

$(\frac{c^2 - b^2}{bc})^2$

(D)

$\frac{c^2 - b^2}{bc}$

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