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Revision Quiz on Trignometric Ratios and Equations
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Question 1
The number of solutions to the equation cos4x + (1/cos2x) =sin4x + (1/sin2x)
in the interval [0,2π] is
in the interval [0,2π] is
Question 2
Let a and b be real numbers such that 
and 
then the value of 
is:
and then the value of is: Question 3
Smallest positive p for which sin(p cos x)=cos(p sin x) has root in [0,2
] is
] is Question 4
Solution for the equation 2sin2x-3 sin x +1
0 in (0,
) is
0 in (0,) is Question 5
The general solution to the equation tan x + tan (
/2+x) =0 is
/2+x) =0 is Question 6
Number of solutions of the equation cos4x + 1/cos2x =sin4x +1/sin2x in [0,2π] is
Question 7
If α is a root of 25cos2θ+5cosθ-12=0, π/2 < α <π, then sin2α is equal to
Question 8
If 2cosθ+sinθ=1 (θ≠π/2)
Then 7cosθ+6sinθ is equal to :
Then 7cosθ+6sinθ is equal to :
Question 9
The time period of sin2θ is:
Question 10
The integer part of the number 
is
is Question 11
If 
and
are acute angles where
and
then find
andare acute angles whereand then find Question 12
If tan(πcosA)=cot(πsin A)then find the value of cos(A-
)is
)is Question 13
If
, then the difference between the maximum and minimum values of 
is given by
, then the difference between the maximum and minimum values of is given byQuestion 14
In a ΔPQR, if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P = 1, then the angle R is equal to
Question 15
Let A and B denote the statements
A: cos α + cosβ + cosγ = 0
B : sinα + sinβ + sinγ = 0
If cos(β – γ) + cos(γ – α) + cos(α – β) = – 3/2, then
A: cos α + cosβ + cosγ = 0
B : sinα + sinβ + sinγ = 0
If cos(β – γ) + cos(γ – α) + cos(α – β) = – 3/2, then
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Aug 19JEE & BITSAT
