trigonometry for jee mains class 11

Find the maximum value of 5cosA + 12sinA + 12

• 29

• 17

• 25

• 34

Find the minimum value of 5cosA + 12sinA + 12?

• -1

• 7

• -3

• -2

If cosA+cosB+2cosC=2, where a, b and C are angles of triangle, then AB, BC and CA are in which progression?

• Arithmetic progression

• Geometric progression

• Harmonic progression

• data insufficient

Which of the following is true?

• tan²(x) - sin²(x) = tan²(x) sin²(x)

• (1 + cos(x) + cos(2x)) / (sin(x) + sin(2x)) = cot(x)

• 4 sin(x) cos(x) = sin(4x) / cos(2x)

• sin(105°) = ( sqrt(6) + sqrt(2) ) / 4

In triangle ABC, if ∠A = 45∘, ∠B = 75∘, then a + c√2 =

• a

• 2b

• b

• 2a

The general solution of sin x − 3 sin2x + sin3x = cos x − 3 cos2x + cos3x is

• x = nπ / 2 + π / 8

• x = nπ/5 + π/10

• x = nπ + π / 2

• none of these

A balloon is observed simultaneously from three points A, B and C on a straight road directly under it. The angular elevation at B is twice and at C is thrice that of A. If the distance between A and B is 200 metres and the distance between B and C is 100 metres, then the height of balloon is given by

• 10* [2/√3]

• 20m

• 60m

• 200* [√3 / 2]

Evaluate the value of (1 + cos π/8) (1 + cos 3π/8) (1 + cos 5π/8) (1 + cos 7π/8).

• 1/2

• 1/4

• 1/6

• 1/8

In any triangle ABC, sin A – cos B = cos C, then angle B is

• pi/2

• pi/3

• pi/4

• pi/6

The number of solution(s) of sin2x + cos4x = 2 in the interval (0, 2pi) is -

• 0

• 2

• 3

• 4