what trig function should be used if opposite=x and adjacent=12 and the angle between the adjacent and hypotenuse is 37 degrees?
The trigonometric function that should be used in this case is the tangent function (tan).
The tangent function is defined as the ratio of the opposite side of a right triangle to the adjacent side. In this case, the opposite side is given as x and the adjacent side is given as 12.
Using the tangent function, we can write the equation as:
tan(angle) = opposite / adjacent
Plugging in the values, we have:
tan(37°) = x / 12
By rearranging the equation, we can solve for x:
x = 12 * tan(37°)
Thus, the value of x is equal to 12 times the tangent of 37 degrees.
You're welcome! If you have any more questions, feel free to ask.
how do you set up the trig function for a triangle with an opposite=8 and the hypotenuse=x and the angle between the opposite and the hypotenuse is 58 degrees?
In this case, the trigonometric function that should be used is the sine function (sin).
The sine function is defined as the ratio of the opposite side of a right triangle to the hypotenuse. In this case, the opposite side is given as 8 and the hypotenuse is given as x.
Using the sine function, we can write the equation as:
sin(angle) = opposite / hypotenuse
Plugging in the values, we have:
sin(58°) = 8 / x
To solve for x, we can rearrange the equation as:
x = 8 / sin(58°)
Thus, the value of x is equal to 8 divided by the sine of 58 degrees.
what is the value of x in the following trig function:
sin(29 degrees) = 12/x
To solve for x, we can rearrange the equation using algebraic manipulation.
sin(29°) = 12 / x
Multiply both sides of the equation by x:
x * sin(29°) = 12
Divide both sides of the equation by sin(29°):
x = 12 / sin(29°)
Using a calculator, evaluate sin(29°) ≈ 0.48480962:
x ≈ 12 / 0.48480962
x ≈ 24.725
Therefore, the value of x in the given trig function is approximately 24.725.