What is a trigonometric graph?

What is a trigonometric graph?

Summary Graphs of Trigonometric Functions. Below are the graphs of the six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent. On the $x$-axis are values of the angle in radians, and on the $y$-axis is f (x), the value of the function at each given angle.

How do you graph a sine function step by step?

Steps for graphing Sine and Cosine Functions

1. Using the basic sine function set-up: sin( ) y A. Bx C. = +
2. or. cos( ) y A. Bx C. = +
3. Identify. _____ , _____ , _____ A. B. C. = = =
4. π Find the “increment”: Period. Find the Phase Shift: C. B. − (*remember that this is the 1. x key point) Find the 5 key points:
5. Key. Points.
6. x.
7. x.
8. x.

What is the 5 point method?

The 5-Point Method is an easy way to graph one cycle of a trig function. k (for a sine graph) or at the maximum (for a cosine graph). Step 5: One period from the starting point there will be another point at the same height.

What are the 5 key points when you graph the sine function?

They are the three x-intercepts, the maximum point, and the minimum point. All of these are on your unit circle. The values of sin x correspond to the y-values, so those key points are (angle, y-value) or (0,0), (π/2, 1), (π, 0), (3π/2, -1), (2π, 0).

What is the starting point on a graph?

In mathematics, an origin is a starting point on a grid. It is the point (0,0), where the x-axis and y-axis intercept. The origin is used to determine the coordinates for every other point on the graph.

How do you graph a cosine function?

Graphing Cosine Function

1. The graph of a cosine function y=cos(x) is looks like this:
2. Domain : (−∞,∞)
3. Range : [−1,1] or −1≤y≤1.
4. x -intercept : (nπ2,0) , where n is an integer.
5. Period: 2π
6. Continuity: continuous on (−∞,∞)
7. Symmetry: y -axis (even function)
8. The maximum value of y=cos(x) occurs when x=2nπ , where n is an integer.

What is the period of a cos graph?

The period of a periodic function is the interval of x-values on which the cycle of the graph that’s repeated in both directions lies. Therefore, in the case of the basic cosine function, f(x) = cos(x), the period is 2π.

What is the period formula?

We can have all of them in one equation: y = A sin(B(x + C)) + D. amplitude is A. period is 2π/B.

What is the period for sin?

The period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.

What is the period of Cos 5 Theta?

2π/5

What is the minimum value of cos theta?

Minimum value of cos θ is –1 when θ = 180 ˚. So, the range of values of cos θ is – 1 ≤ cos θ ≤ 1.

What is the minimum value of cos Theta Theta?

Minimum value of cosθ is -1 when θ=1800 Maximum value cosθ 1 whenθ is O,360 Min-Max table.

What is the minimum value of cos A?

The cosine function ranges from -1 to 1, therefore the minimum is -1 and the maximum is 1. 2. The sine function ranges from -1 to 1, and since there is a two multiplied by the function, the minimum is -2 and the maximum is 2.

What is the maximum value of cos 2 theta?

Min-Max table

	Min value	Max value
cos θ, cos 4θ , cos 7θ … cos nθ	-1	+1
sin2 θ , sin2 4θ , sin2 9θ …sin2 nθ	0	+1
cos2 θ , cos2 3θ , cos2 8θ … cos2 nθ
Sin θ Cos θ	-1/2	+1/2

What is the maximum and minimum value of sec theta?

Maximum value of Sec theta is 1.

What is value of sec theta?

the equation sec(theta)=-1 turns to 1/cos(theta)=-1, which is equivalent to cos(theta)=-1. The only values of theta that satisfy this are theta=pi +2k pi for k in ZZ. If you prefer the notation with degrees: theta=180°+360°k for k in ZZ.

What is the maximum value of 1 Cosec A?

1/cosec​θ=sinθ. Since sinθ has a maximum value of 1, 1/cosecθ has a maximum value of 1. 1/ cosecθ = Sinθ. It’s maximum value is 1.

What is positive minimum value of sec theta?

Answer. Answer: At θ = π/2 +ε , sec(θ) = -Infinity; At θ = π , sec(θ) = – 1; At θ = 3π/2 -ε, sec(θ) = -Infinity; Note2: In this interval sec(θ) has a minimum of -Infinity , and a max of -1.

What is the maximum and minimum value of Cosec Theta?

Step-by-step explanation: Maximum value of cos θ is 1 when θ = 0 ˚, 360˚. Minimum value of cos θ is –1 when θ = 180 ˚.

What is the maximum value of Cosec Theta?

From the graph shown above, For y = cosec x : Amplitude = none; there is no maximum value for cosec function.

What is the maximum value of 3 by Cosec Theta?

Step-by-step explanation: 3 / cosec x = 3 sin x <= 3. the maximum value is therefore 3.

What is the maximum value of 2 upon Cosec Theta justify your answer?

the maximum malue of cosec theta is infinite . Aakash EduTech Pvt. Ltd.

What is the maximum value of 1 Seca?

Answer. the maximum value of 1/sec A (or cosA) is 1.

What is the maximum value of 1 Secѳ?

value of sec q will return max. value for 1/secθ. Hence, the max. value of 1/sec0° =1/1=1.

What is the maximum value of tan theta?

the maximum value of tan theta is infinity. tan θ does not have any maximum or minimum values. tan θ = 1 when θ = 45 ˚ and 225˚ .