Equations with Solutions at Boundary Values
Trending Questions
Q.
Find the principal solution of tan2x+(√3−1)tan x−√3=0
x=π4
x=π3
x=−π4
x=−π3
Q.
Find the principal solution of 1+cos xcos x=2
none of these
x=π
x=0
x=π2
Q.
Find the principal solutions of sin 2x + cos x = 0
x=−π3, x=π3
x=−π6, x=π2
x=π2
x=π3
Q. If equation in variable θ, 3tan(θ−α)=tan(θ+α), (where α is constant), has no real solution, then α can be (wherever tan(θ−α) and tan(θ+α) both are defined)
- π15
- 5π18
- 5π12
- 17π18
Q. Number of solutions of the equation (2 cosec x−1)13+(cosec x−1)13=1 in (−kπ, kπ) is 16, then the possible value of 'k' is
- 2
- 4
- 8
- 16
Q. The number of solution(s) of the system of equations x+y=2π3 and cosx+cosy=32, where x and y are real, is
Q. The number of solution of sin4θ−2sin2θ−1=0 for θ∈[0, 2π] is
Q. The number of solution(s) of the equation esinx−e−sinx−4=0 is
Q.
Write the number of values of θ in [θ, 2π]that satisfy the equation sin2 θ−cos θ=14.
Q.
If sec x cos 5x+1=0, where 0<x≤π2, find the value of