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Worksheetstrigonometry for jee mains class 11
Total questions: 15
Worksheet time: 15mins
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
3sinx + 4cosx + r is always greater than or equal to 0. What is the smallest value ‘r’ can to take?
5
-5
4
3
Find the value of :- (log sin 1° + log sin 2° ………..+ log sin 89°) + (log tan 1° + log tan 2° + ……… + log tan 89°) - (log cos 1° + log cos 2° + ……… + log cos 89°)
(log root 2)/(1+root 2)
-1
1
none of these
2 sin2β + 4 cos (α + β) sin α sin β + cos 2 (α + β) =?
cos 2α
cos (α/4)
cos 3α
cos α
tan x + 2 tan 2x+ 4 tan 4x + 8 cot 8x=?
tan x
cot x
tan 2x
cot 2x
tan4α−1/cos4α=(sin2α+cos2α)/(sin2α−cos2α)
true
false
