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The value of cos² x + cos² y – 2cos x × cos y × cos (x + y) is

The value of cos² x + cos² y – 2cos x × cos y × cos (x + y) is A sin (x + y) B sin² (x …
Math

If a×cos x + b × cos x = c, then the value of (a × sin x – b²cos x)² is

If a×cos x + b × cos x = c, then the value of (a × sin x – b²cos x)² is A a² + b² + c² B …
Math

If cos a + 2cos b + cos c = 2 then a, b, c are in

If cos a + 2cos b + cos c = 2 then a, b, c are in A 2b = a + c B b² = a × c …
Math

The value of cos 5π is

The value of cos 5π is A 0 B 1 C -1 …
Math

In a triangle ABC, cosec A (sin B cos C + cos B sin C) equals

In a triangle ABC, cosec A (sin B cos C + cos B sin C) equals A 1 B c/a …
Math

If the angles of a triangle be in the ratio 1 : 4 : 5, then the ratio of the greatest side to the smallest side is

If the angles of a triangle be in the ratio 1 : 4 : 5, then the ratio of the greatest side to the smallest side is A …
Math

The value of cos 180° is

The value of cos 180° is A 0 B 1 C -1 …
Math

The perimeter of a triangle ABC is 6 times the arithmetic mean of the sines of its angles. If the side b is 2, then the angle B is

The perimeter of a triangle ABC is 6 times the arithmetic mean of the sines of its angles. If the side b is 2, then the angle B is …
Math

If 3 × tan(x – 15) = tan(x + 15), then the value of x is

If 3 × tan(x – 15) = tan(x + 15), then the value of x is A 30 B 45 C …
Math

If the sides of a triangle are 13, 7, 8 the greatest angle of the triangle is

If the sides of a triangle are 13, 7, 8 the greatest angle of the triangle is A π/3 B π/…
Math

The value of tan 20 × tan 40 × tan 80 is

The value of tan 20 × tan 40 × tan 80 is A tan 30 B tan 60 C …
Math

If the angles of a triangle be in the ratio 1 : 4 : 5, then the ratio of the greatest side to the smallest side is

If the angles of a triangle be in the ratio 1 : 4 : 5, then the ratio of the greatest side to the smallest side is A …
Math

The general solution of √3 cos x – sin x = 1 is

The general solution of √3 cos x – sin x = 1 is A x = n × π + (-1)n × (π/6) B x = π/3 –…
Math

If tan² θ = 1 – e², then the value of sec θ + tan³ θ × cosec θ is

If tan² θ = 1 – e², then the value of sec θ + tan³ θ × cosec θ is A 2 – e² B (2 – e²)1/…
Math

The value of cos 20 + 2sin² 55 – √2 sin65 is

The value of cos 20 + 2sin² 55 – √2 sin65 is A 0 B 1 C -1 …
Math

If the radius of the circumcircle of an isosceles triangle PQR is equal to PQ ( = PR), then the angle P is

If the radius of the circumcircle of an isosceles triangle PQR is equal to PQ ( = PR), then the angle P is A 2π/3 …
Math

If cos a + 2cos b + cos c = 2 then a, b, c are in

If cos a + 2cos b + cos c = 2 then a, b, c are in A 2b = a + c B b² = a × c …
Math

The value of 4 × sin x × sin(x + π/3) × sin(x + 2π/3) is

The value of 4 × sin x × sin(x + π/3) × sin(x + 2π/3) is A sin x B sin 2x …
Math

If tan A – tan B = x and cot B – cot A = y, then the value of cot (A – B) is

If tan A – tan B = x and cot B – cot A = y, then the value of cot (A – B) is A x + y B …
Math

The value of (sin 7x + sin 5x) /(cos 7x + cos 5x) + (sin 9x + sin 3x) / (cos 9x + cos 3x) is

The value of (sin 7x + sin 5x) /(cos 7x + cos 5x) + (sin 9x + sin 3x) / (cos 9x + cos 3x) is A tan 6x …
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