Find the Other Trig Values in Quadrant IV tan(theta)=-4/5

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
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.
Simplify the value of .
Tap for more steps…
Multiply by .
Combine and simplify the denominator.
Tap for more steps…
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
Tap for more steps…
Rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
Evaluate the exponent.
Move the negative in front of the fraction.
Find the value of cosine.
Tap for more steps…
Use the definition of cosine to find the value of .
Substitute in the known values.
Simplify the value of .
Tap for more steps…
Multiply by .
Combine and simplify the denominator.
Tap for more steps…
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
Tap for more steps…
Rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
Evaluate the exponent.
Find the value of cotangent.
Tap for more steps…
Use the definition of cotangent to find the value of .
Substitute in the known values.
Move the negative in front of the fraction.
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.
Move the negative in front of the fraction.
This is the solution to each trig value.
Find the Other Trig Values in Quadrant IV tan(theta)=-4/5


Need help with MATH HOMEWORK

We can help your. Our mathematic problem solver answers your math homework questions with step-by-step explanations.

Need help with math? Try to Solve Algebra Math Problems here: https://elanyachtselection.com/

Scroll to top