Inverse Trig Functions Calculator
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
What is Inverse Trig Functions Calculator?
'Inverse Trig Functions Calculator' is an online tool that helps to calculate the values of the inverse trigonometric function. Online Inverse Trig Functions Calculator helps you to calculate the values of the inverse trigonometric function in a few seconds.
Inverse Trig Functions Calculator
NOTE: Value of 'x' should be between -1 and 1 for sine and cosine.
How to Use Inverse Trig Functions Calculator?
Please follow the steps below on how to use the calculator:
- Step 1: Choose a drop-down list to find for sin-1, cos-1, and tan-1.
- Step 2: Enter the value x in the given input box.
- Step 3: Click on the "Calculate" button to find the values of the inverse trigonometric function
- Step 4: Click on the "Reset" button to clear the fields and enter new values.
How to Find Inverse Trig Functions?
The sine function is defined as the ratio of the length of the opposite side to that of the length of the hypotenuse in a right-angled triangle. The sign is a trigonometric function of an angle. It is denoted as sinθ, where θ is the angle between the two sides.
The inverse sine function is the inverse of the function. If any value x is given, the angle in degrees is calculated for different inverse sine functions. It is denoted by sin-1(x).
Let function be y = sin-1x. The domain of sin-1x is -1 ≤ x ≤ 1 and the range of sin-1x is -π/2 ≤ y ≤ π/2
The cosine function is defined as the ratio of the length of the adjacent side to that of the length of the hypotenuse in a right-angled triangle. Cosine is a trigonometric function of an angle. It is denoted as cosθ, where θ is the angle between the two sides.
The inverse cosine function is the inverse of the function. If any value x is given, the angle in degrees is calculated for different inverse cosine functions. It is denoted by cos-1(x)
Let function be y = cos-1x. The domain of cos-1x is -1 ≤ x ≤ 1 and the range of cos-1x is 0 ≤ y ≤ π
The tangent function is defined as the ratio of the length of the opposite side to that of the length of the adjacent side in a right-angled triangle. Tangent is a trigonometric function of an angle. It is denoted as tanθ, where θ is the angle between the two sides.
The inverse tangent function is the inverse of the function. If any value x is given, the angle in degrees is calculated for different inverse tangent functions. It is denoted by tan-1(x)
Let function be y = tan-1x. The domain of tan-1x is -∞ ≤ x ≤ ∞ and the range of tan-1x is -π/2 ≤ y ≤ π/2
The cosecant function is defined as the ratio of the length of the hypotenuse to that of the length of the opposite side in a right-angled triangle. Cosecant is a trigonometric function of an angle. It is denoted as cosecθ, where θ is the angle between the two sides. It is the inverse of sinθ.
The inverse cosecant function is the inverse of the function. If any value x is given, the angle in degrees is calculated for different inverse cosecant functions. It is denoted by cosec-1(x)
Let function be y = cosec-1x. The domain of cosec-1x is -∞ ≤ x ≤ -1 or 1 ≤ x ≤ ∞ and the range of cosec-1x is -π/2 ≤ y ≤ π/2, y ≠ 0
The secant function is defined as the ratio of the length of the hypotenuse to that of the length of the adjacent side in a right-angled triangle. Secant is a trigonometric function of an angle. It is denoted as secθ, where θ is the angle between the two sides. It is the inverse of cosθ
The inverse secant function is the inverse of the function. If any value x is given, the angle in degrees is calculated for different inverse secant functions. It is denoted by sec-1(x)
Let function be y = sec-1x. The domain of sec-1x is -∞ ≤ x ≤ -1 or 1 ≤ x ≤ ∞ and the range of sec-1x is 0 ≤ y ≤ π, y ≠ π/2
The cotangent function is defined as the ratio of the length of the adjacent side to that of the length of the opposite side in a right-angled triangle. Cotangent is a trigonometric function of an angle. It is denoted as cotθ, where θ is the angle between the two sides. It is the inverse of tanθ.
The inverse cotangent function is the inverse of the function. If any value x is given, the angle in degrees is calculated for different inverse cotangent functions. It is denoted by cot-1(x)
Let function be y = cot-1x. The domain of cot-1x is -∞ ≤ x ≤ ∞ and the range of cot-1x is 0 ≤ y ≤ π
Solved Examples on Inverse Trig Functions Calculator
-
Example1:
Find the inverse sine value if the x = 1
Solution:
Given x = 1
sin-1(1) = 90°
-
Example2:
Find the inverse tan value if the x = 1
Solution:
Given x = 1
tan-1(1) = 45°
Similarly, you can try the calculator to find the inverse trigonometric functions for the following:
- x = 1/2
- x = -1
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