How would you find the exact value of the six trigonometric function of -7pi/4? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer Alan P. Jan 6, 2017 #{: (sin(-(7pi)/4)=sqrt(2)/2,color(white)("XX"),csc(-(7pi)/4)=sqrt(2)), (cos(-(7pi)/4)=sqrt(2)/2,,sec(-(7pi)/4)=sqrt(2)), (tan(-(7pi)/4)=1,,cot(-(7pi)/4)=1) :}# Explanation: Note that an angle of #-(7pi)/4# is equivalent to an angle of #pi/4# which is one of the standard/common angles. 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 1077 views around the world You can reuse this answer Creative Commons License