Find the Trig Value tan(theta)=4/3 , 0<=theta<=pi/2

Math
,
Use the definition of tangent to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.
Find the hypotenuse of the unit circle triangle. Since the opposite and adjacent sides are known, use the Pythagorean theorem to find the remaining side.
Replace the known values in the equation.
Simplify inside the radical.
Tap for more steps…
Raise to the power of .
Hypotenuse
Raise to the power of .
Hypotenuse
Add and .
Hypotenuse
Rewrite as .
Hypotenuse
Pull terms out from under the radical, assuming positive real numbers.
Hypotenuse
Hypotenuse
Find the value of sine.
Tap for more steps…
Use the definition of sine to find the value of .
Substitute in the known values.
Find the value of cosine.
Tap for more steps…
Use the definition of cosine to find the value of .
Substitute in the known values.
Find the value of cotangent.
Tap for more steps…
Use the definition of cotangent to find the value of .
Substitute in the known values.
Find the value of secant.
Tap for more steps…
Use the definition of secant to find the value of .
Substitute in the known values.
Find the value of cosecant.
Tap for more steps…
Use the definition of cosecant to find the value of .
Substitute in the known values.
This is the solution to each trig value.
Find the Trig Value tan(theta)=4/3 , 0<=theta<=pi/2

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top