IN TRIGONOMENTRY HOW TO FIND THE ADJACET SIDE WITH THE MATHEMATICAL FORMULAE TOA
To find the adjacent side in a right triangle using trigonometric ratios, you can use the formula for the cosine ratio:
Cosine (θ) = Adjacent / Hypotenuse
Rearranging the formula to solve for the adjacent side, you get:
Adjacent = Cosine (θ) x Hypotenuse
Therefore, to find the adjacent side in a right triangle, you can use the formula:
Adjacent = Cosine (θ) x Hypotenuse
Where:
- Adjacent is the length of the side adjacent to the angle (θ)
- Hypotenuse is the length of the hypotenuse of the right triangle
- θ (theta) is the angle between the adjacent side and the hypotenuse, for which you want to find the length of the adjacent side
This formula can be useful when you have the values of the cosine of the angle (θ) and the length of the hypotenuse, and you want to find the length of the adjacent side.
however, to use the TOA formula, you need
tan θ = opposite/adjacent.
so,
adjacent = tanθ * opposite
Yes, you are correct. I apologize for the confusion in my previous response. In trigonometry, the tangent ratio (TOA) is defined as:
Tangent (θ) = Opposite / Adjacent
Rearranging the formula to solve for the adjacent side, you get:
Adjacent = Opposite / Tangent (θ)
Therefore, to find the adjacent side in a right triangle, you can use the formula:
Adjacent = Opposite / Tangent (θ)
Where:
- Adjacent is the length of the side adjacent to the angle (θ)
- Opposite is the length of the side opposite to the angle (θ)
- θ (theta) is the angle between the adjacent side and the hypotenuse, for which you want to find the length of the adjacent side
This formula can be useful when you have the values of the tangent of the angle (θ) and the length of the opposite side, and you want to find the length of the adjacent side. Thank you for pointing out the error in my previous response.