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Inverse Trigonometric Functions Calculator

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Example
Created on 2024-06-20Asked by Madison Lee (Solvelet student)
Find the value of arcsin⁡(12) \arcsin\left(\frac{1}{2}\right) .

Solution

To find the value of arcsin⁡(12) \arcsin\left(\frac{1}{2}\right) , we look for the angle whose sine is 12 \frac{1}{2} . From the unit circle or trigonometric tables, we know: sin⁡(π6)=12 \sin\left(\frac{\pi}{6}\right) = \frac{1}{2} Therefore: arcsin⁡(12)=π6 \arcsin\left(\frac{1}{2}\right) = \frac{\pi}{6} Solved on Solvelet with Basic AI Model
Some of the related questions asked by Logan Mitchell on Solvelet
1. Find the exact value of cos⁡(arccos⁡(35))\cos(\arccos(\frac{3}{5})),2. Determine the rate of change of the angle θ\theta in radians with respect to time tt when θ=arctan⁡(t)\theta = \arctan(t) and t=3t = 3.,
DefinitionInverse trigonometric functions are inverse of sin, cos, tan etc.. functions. In otherwords, it is the angle θ, sin θ=x. These are useful to solve the trigonometric equations and in calculations of angles in the fields like physics, statistics. For example, the inverse of sin function called sin−1(x) or arcsin(x), x is called the angle value and if sin(θ)=0.5, then, Θ=arcsin(0.5)=6π
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