How do you evaluate #tan ((-7pi)/4)#? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer Alan P. Nov 18, 2015 #tan((-7pi)/4) = 1# Explanation: Note that #(-7pi)/4# is equivalent to #pi/4# which is one of the standard angles with #color(white)("XXX")tan((-7pi)/4)=tan(pi/4) = 1# Answer link Related questions How do you find the trigonometric functions of any angle? What is the reference angle? How do you use the ordered pairs on a unit circle to evaluate a trigonometric function of any angle? What is the reference angle for #140^\circ#? How do you find the value of #cot 300^@#? What is the value of #sin -45^@#? How do you find the trigonometric functions of values that are greater than #360^@#? How do you use the reference angles to find #sin210cos330-tan 135#? How do you know if #sin 30 = sin 150#? How do you show that #(costheta)(sectheta) = 1# if #theta=pi/4#? See all questions in Trigonometric Functions of Any Angle Impact of this question 10517 views around the world You can reuse this answer Creative Commons License