Enter the sides or angles of the right triangle, and the calculator will find the missing sides and angles.
This SOHCAHTOA calculator finds missing sides or angles of right triangles using SOH.CAH.TOA method and provides you with step-by-step solutions.
SOH CAH TOA is a mnemonic way used to remember the formulas for main trigonometric ratios including sine (sin), cosine (cos), and tangent (tan).
Here is what the terms mean:
How SOHCAHTOA helps:
SOHCAHTOA helps to understand which of the trigonometric ratios (sine, cosine, or tangent) should be used for finding missing sides and angles.
It is easy to remember the sequence of Sin, Cos, and Tan. You need to try memorable phrases such as:
“Oscar Had A Heap Of Apples”
It implies to right angle trig functions as:
Follow these steps to work out the unknown sides of a right-angled triangle:
A right triangle has a hypotenuse of 13 cm and an acute angle (α) of 30°. Determine the length of the side opposite angle α
Solution:
We are looking for the opposite side by having the hypotenuse, so use the SOH formula. Hence put the values and get to know the missing side.
Sin (30°) = Opposite 13 cm
We also know that Sin (30°) is a fixed value (0.5)
0.5 = Opposite 13 cm
Now, to find the missing opposite side, we can multiply both sides of the equation by 13 cm.
Opposite = 0.5 * 13 cm
Opposite = 6.5 cm
To save time and effort, try our trigonometry SOHCAHTOA calculator. It uses the SOHCAHTOA formulas to calculate the missing sides/angles of the right triangles.
Yes, it only works in the cases of right triangles. In non-right triangles, the side relationships(Hytoneous, Opposite, and Adjacent) do not hold. Therefore, it's not possible to apply SOCAHTOA to them.
References:
From the source of en.wikipedia.org: Trigonometric ratios.
From the source of courses.lumenlearning.com: Right triangle trigonometry.
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