Test : Trigonometric Functions And Identities - 6 - Mathematics MCQ

The area of a ΔABC is a² -(b-c)². Then tan A is equal to

In a ΔABC, B=90°, AC = h and the length of the perpendicular from B to AC < BC then ∠C has the measure

In a ΔABC, a = 5; b = 4 and tan C/2 =  The side c is

If In a ΔABC, AC = 12, BC = 13 and AB = 5, then the distance of A from BC is

In a ΔABC, cos A = 3/5 and cos B = 5/15. The value of cos C can be

In a ΔABC, B = π/8 and C = 5π/8. The altitude from A to the side BC is

Two angles of a triangle are π/6 and π/4, and the length of the inculded side is (√3 + 1)cm. The area of the triangle is

If cos A + cos B + 2 cos C = 2 then the sides of the ΔABC are in

If in the ΔABC, the in centre is the middle point of the median AD then cos A has the value

If in a ΔABC, 3a = b + c then tan B/2. tan C / 2 is equal to

If in a ΔABC, 2 cos A sin C = sin B the triangle is

In a ΔABC, a =1 and the perimeter is six time the AM of t he sin of the angles. The measure of ∠A is

In a ΔABC, ∠A > ∠B, If sin A and sin B satisfy the equation 3 sinx-4sin³x-k=0, 0<k<1,then ∠C is

In a ΔABC the sides a, b and c are in AP. Then   cot B/2 is equal to

if the sides of a triangle are proportional to the cosines of the opposite angles then the triangle is

If in a ΔABC,  acos² A/2 + acos² C/2 = 3b/2, then a,b,c are in

The sides of a triangle are in AP and its area is 3/5 x (area of an equila teral triangle of the same perimeter). Then the ratio of the sides is