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
Also Read
- Notes
- Trigonometry
- Trigonometric functions
- Domain,Range And Graph of trigonometric functions
- Trigonometric Identities
- Trigonometric equations
- Values of Sin 15, cos 15 ,tan 15 ,sin 75, cos 75 ,tan 75
- values of Sin 18, cos 18, tan 18, sin 36,cos 36, Sin 54, cos 72
- Questions
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