Sine Function
y=f(x)= Sin(x)
domain
: It is defined for all real values of x
range : -1 ≤ y ≤ 1
Period:2π
It is a odd function
Graph of sin(x) function
More Graphs on sine function
for y=f(x)=2 sin (x) and y=f(x)=3 sin (x)
We can see that range get increased in the similar way
for y=f(x)=sin (2x)
We can see that range remains but graph get shrink
Cosine Function
y=f(x)= cos(x)
Domain : It is defined for all real values of x
Range : -1 ≤ y ≤ 1
Period:2π
It is even function
Graph of cos(x) function
More Graphs on contains function
for y=f(x)=2 cos (x) and y=f(x)=3 cos (x)
We can see that range get increased in the similar way
for y=f(x)=cos (2x)
We can see that range remains but graph get shrink
Tangent Function
y=f(x)=tan(x)
Domain : It is defined for all real values of x except x ≠(2n + 1)(π/2) where n is any
Range : All the real numbers
Period:π
It is a odd function
Graph of tan(x) function
Cotangent Function
y=f(x)=cot(x)
Domain : It is defined for all real values of x except x ≠nπ, where n is any integer
Range : All the real numbers
Period:π
It is a odd function
Graph of cot(x) function
Secant Function
y=f(x)=sec(x)
Domain : It is defined for all real values of x except x ≠(2n + 1)(π/2) where n is any integer
Range : (-∞,-1] ∪ [1,∞)
Period:2π
It is even function
Graph of sec(x) function
Cosecant Function
y=f(x)=cosec(x)
Domain :It is defined for all real values of x except x ≠nπ, where n is any integer
Range : (-∞,-1] ∪ [1,∞)
Period:2π
It is odd function
Graph of cosec(x) function
We can write the
range for the trigonometric functions in below summary table
Related Topics
Related Links on Trigonometry
Notes
Class 11 Maths
Class 11 Physics
