There is no maximum or minimum values for tan θ and cot θ. We may state the situation in a slightly different way. When sin θ approaches 1 while cos θ in the denominator approaches zero, Maximum value of tan θ tends to ∞ but it cannot be defined.
What is the maximum value of sin Theta + Cos Theta?
Since the period of the combined function sin (theta) + cos (theta) is 2pi, the maximum value (sqrt (2)) occurs at theta = pi/4 +2kpi, for all integral k What is value of sec theta - tan theta if sec theta + tan theta = 7? What is the maximum value of tan squared theta? If sec theta =√5, what is the value of sin theta, cos theta, tan theta?
How do you find the maximum value of (θ + α)?
( θ + α) reaches its maxima which is 1. θ] = c = a 2 + b 2. Ultimately it is a simple expression. ( θ + α) is minimum, which is − 1. θ] = − c = − a 2 + b 2. α. α. ( θ + α).
How do you find the maximum and minimum value of sin?
Maximum value = √ (a 2 + b 2) Minimum value = – √ (a 2 + b 2) Example: Find the minimum and maximum value of 3 sinɸ + 4 sinɸ. Minimum value = – √ (3 2 + 4 2) = -5. Maximum value = √ (3 2 + 4 2) = 5. Type 2: (sinɸ cosɸ)n. Minimum value = (1/2) n. The maximum value can go up to infinity.
What is the value of (θ + α) = 1?
( θ + α) reaches its maxima which is 1. θ] = c = a 2 + b 2. Ultimately it is a simple expression. ( θ + α) is minimum, which is − 1. θ] = − c = − a 2 + b 2. α. α. ( θ + α). ( θ + α) is 1 and c = a 2 + b 2.
Does tan have maximum or minimum value?
Amplitude and Period of a Tangent Function The tangent function does not have an amplitude because it has no maximum or minimum value. The period of a tangent function, y=atan(bx) , is the distance between any two consecutive vertical asymptotes.
What is the maximum of tangent?
1 Expert Answer The trigonometric function y = tan(x) has no maximum value. Remember that tan(x) = sin(x)/cos(x).
What is the maximum value of theta?
Step-by-step explanation: Maximum value of sin θ is 1 when θ = 90 ˚. Minium value of sin θ is –1 when θ = 270 ˚.
What is the smallest value of tan?
4π,2π
What is the minimum value of tan theta?
tan θ does not have any maximum or minimum values. tan θ = 1 when θ = 45 ˚ and 225˚ .
Which value of tan is infinite?
The exact value of tan 90 is infinity or undefined.
How do you find minimum and maximum values in trigonometry?
The maximum value of the function is M = A + |B|. This maximum value occurs whenever sin x = 1 or cos x = 1. The minimum value of the function is m = A ‐ |B|. This minimum occurs whenever sin x = −1 or cos x = −1.
What is the minimum value of cos A?
-1 to 1The cosine function ranges from -1 to 1, therefore the minimum is -1 and the maximum is 1.
What is the maximum and minimum value of sin theta cos theta?
Z comes positive. So at x=π+π/4 minima occurs. So maximum value of sinx +cosx=√2 and minimum value of sinx +cosx=-√2.
What is Tan range?
The domain of the function y=tan(x) ) is all real numbers except the values where cos(x) is equal to 0 , that is, the values π2+πn for all integers n . The range of the tangent function is all real numbers.
What is the maximum value of tan theta cot Theta?
and the maximum value will be infinite.
What is the graph of tan?
What is the tan graph? The tan graph is a visual representation of the tangent function for a given range of angles. The horizontal axis of a trigonometric graph represents the angle, usually written as θ, and the y-axis is the tangent function of that angle.
How do you find the maximum value of a tangent line?
The key to the minimum/maximum problem in calculus is to realize that at the peak or valley of a curve, the tangent line is horizontal, i.e., the slope of the tangent line is zero. To find the x value that corresponds to the max. or min., take the original function, and find its derivative, and set it equal to zero.
How do you find the tangent limit?
1:146:56Finding the equation of the tangent line, using limit definition - YouTubeYouTubeStart of suggested clipEnd of suggested clipWe're going to use the definition. Which is the slope of the tangent line equals the limit as H goesMoreWe're going to use the definition. Which is the slope of the tangent line equals the limit as H goes to 0 of F of a plus h. Minus F of a all over H.
How do you find the limit of a tangent line?
0:175:57Using limits to find the slope of the tangent line at a point for a rational ...YouTubeStart of suggested clipEnd of suggested clipSo the slope of the tangent line is given by the limit as H goes to 0 of f of a plus h minus F of aMoreSo the slope of the tangent line is given by the limit as H goes to 0 of f of a plus h minus F of a over H.
What is the maximum value of cos?
1Maximum value of cos θ is 1 when θ = 0 ˚, 360˚. 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 sin2?
Its value will be least for the minimum value of sin² θ. As sin² θ can’t be negative so minimum value of sin² θ = 0
Is the Arithmetic Mean always greater than the Geometric Mean?
These type of problems can be easily tackled by using the concept of AM ≥ GM, meaning, Arithmetic Mean is always greater than or equal to Geometric Mean.
What is the sine of theta?
No matter what, the sine of Theta is simply a ratio of the length of the horizontal distance of a vertical line drawn from the point of intersection of the line drawn from the center and along the angle to where it meets the radius, to the x-axis.
What is the maximum value of sinA?
And our convention says that the ratio perpendicular/hypotenuse is nothing but sinA. And that is why the maximum value of sinA is 1.
What are the ratios of perpendicular, base and hypotenuse of a right angled triangle?
All the trigonometric ratios such as sin , tan, cos etc are the ratios of perpendicular, base and hypotenuse of a right angled triangle .
What are the maximum and minimum values of sin x and cos x?
The maximum and the minimum values for sin x and cos x are c + a and c − a respectively, where a is the amplitude.
What is the maximum of sec?
Note1: In this interval sec (θ) has a maximum of +Infinity , and a min of 1.
What is the ratio of perpendicular to hypotenuse?
Now if perpendicular=hypotenuse then perpendicular/hypotenuse ratio will be 1 but we know that perpendicular < hypotenuse . But it also happens when A=90° and in that case perpendicular becomes parallel with hypotenuse and equal in length also.