How do you evaluate #csc (-405)#? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer GiĆ³ May 13, 2015 I would substitute #-405^@# (hope is in degrees) by the equivalent #-45^@# and write: #csc(-405^@)=csc(-45^@)=1/sin(-45^@)=1/(-sqrt(2)/2)=-sqrt(2)# 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 3953 views around the world You can reuse this answer Creative Commons License