Test : Trigonometric Functions And Identities - 5 - Mathematics MCQ

If 2 tan^-1 x + sin^-1   is independent of x then

If tan^-12, tan^-13, are two angles of a triangle then the third angle is

If a ΔABC   is equal to

If the area of a  ΔABC be λ then a² sin 2B + b²- sin 2A is equal 

If k be the perimeter of the ΔABC then b cos² C/2 + cos² B/2 is equal to

If R denotes circumradius then in a ΔABC,  is equal to

If a  ΔABC,  is equal to 

If a ΔABC, ( c + a + b) (a + b - c) = ab. The measure of ∠C is

In a ΔABC, A : B : C = 3 : 5 : 4. Then a + b + c√2 is equal to

The equation ax² + bx + c = 0, where a, b, c are the sides of a ΔABC, and the equation x² + √2x + 1 =0 have a commn root. The measure of √C is

If in a ΔABC, a² cos² A = b² + c² then

In a ΔABC, tan A/2 and tan B/2 satisfy 6x² - 5x + 1 = 0. Then

Two sides of a triangle are given by the roots of the equation x² - 2√3x + 2 = 0. The angle be tween the sides is π/3. The perimeter of the triangle is

The sides of a ΔABC are AB =  cm, BC - 4√3 cm and CA = 7 cm. Then sinθ, where θ is the smallest angle of the triangle, is equal to

Two sides of a triangle are 2√2 cm and 2√3 cm and the angle opposite to the shorter side of two is π/4. The largest possible length of the third side is

In a ΔABC, a = 8, b = 10 and c= 12. Then C is equal to

In a ΔABC, if  then