List of top Mathematics Questions on Trigonometry asked in MHT CET

With the usual notations, if the lengths of the sides of the triangle are 3 units, 5 units and 7 units, then the largest angle of the triangle is

The angles of \(△ABC\) are in A.P. and \(b:c = \sqrt{3}:\sqrt{2}\) then \(\angle A =\)

In a right-angled \(△ABC\), the measures of the angles are in an Arithmetic Progression (A.P.) If its smallest side is \(4\) units, then the area of \(△ABC\) is.....

The lengths of the shadows of a tree of height p, thrown by sun's rays at three different moments are p, 2p and 3p. The sum of the angles of elevation of the sun's rays at these three moments is equal to...

In \(△ABC\), with usual notations, \((a+b+c)(b+c-a)(c+a-b)(a+b-c) = 3b^2c^2\), then \(\angle A =\)

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 \(\frac{2sinA-sin2A}{2sinA+sin2A}\) is equal to...

In \(△ABC\), with usual notations, if the sides \(a\), \(b\) and \(c\) are in the ratio \(18:17:7\), then \(cot\frac{A}{2}:cot\frac{B}{2}:cot\frac{C}{2} =\)

In \(△ABC\), with usual notations, if \(\Delta\) denotes the area of triangle \(ABC\) then the value of \(2s(b+c-a)tan(\frac{A}{2})\) is equal to \(\ldots\)

In triangle ABC, with usual notations, if \((a+b+c)(a+b-c) = ab\), then the measure of angle C is...

In \(△ABC\), with usual notation, if \(a = 13,b = 14,c = 15\), then the sum of the values of \(sin(\frac{A}{2})\) and \(sinA\) is....

With usual notations, in \(△ABC\), if \(cosC = \frac{sinA}{2sinB}\), then which of the following is true ?

In \(△ABC\), if \(a = 13,b = 14,c = 15\), then the value of \(sinA+cosA\) is...

With usual notations in \(△\)ABC, if \(bcos^2\frac{C}{2}+ccos^2\frac{B}{2} = \frac{3a}{2}\) then

In a triangle ABC, with usual notations \(a = \sqrt{3}+1\), \(b = \sqrt{3}-1\) and \(\angle C = 60^{\circ}\) then the values of \(\angle A\) and \(\angle B\) respectively are

Let \(P_1\), \(P_2\), \(P_3\) be the altitudes of a triangle ABC from the vertices A, B, C respectively. If \(△\) denotes the area of the triangle and s is the semi-perimeter of the triangle, then \(\frac{cosA}{P_1}+\frac{cosB}{P_2}+\frac{cosC}{P_3} =\)

In a triangle ABC, with the usual notations, \(\angle B = \frac{π}{3}\), \(\angle C = \frac{π}{4}\). If D divides BC internally in the ratio 1:3, then \(\frac{sin\angle BAD}{sin\angle CAD} =\)

If \( \sin x \cos x = \frac{1}{4} \), then the general solution is:

In \(△ABC\) with usual notations, if \(1+tan(\frac{A}{2})tan(\frac{B}{2}) = \frac{k}{s}\) (where \(s\) is the semi-perimeter), then the value of \(k\) is...

In \(△ABC\), with the usual notations, \(\angle C = 90^{\circ}\), then \(sin(A-B)\) is equal to....

In a triangle ABC, with usual notations if \(\frac{s-a}{11} = \frac{s-b}{12} = \frac{s-c}{13}\) and \(λtan^2\frac{A}{2} = 455\), then \(λ =\)

With usual notations, in \(△ABC\), if \(2a^2 = b^2+c^2\), then \(\frac{cos3A}{cosA}+2 =\)

With usual notations, in \(△ABC\), \((b-c)^2cos^2\frac{A}{2}+(b+c)^2sin^2\frac{A}{2} =\)

In triangle ABC, with usual notations, if the angles are in Arithmetic Progression and \(3c^2 = 2b^2\), then the measure of angle A is

In \(\Delta ABC\), if \(\angle A = 90^{\circ}\), then \(sin(B-C) =\)

In \(△ABC\), with usual notations, if \(cosA = \frac{1}{2},a = 3,\angle B = \frac{π^c}{6}\), then the values of \(b\) and \(c\) are.....