How do you find the value of csc (-210)csc(−210)? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer Trevor Ryan. Oct 16, 2015 22 Explanation: csc(-210^@)=1/(sin(-210^@))=-1/sin(210^@)csc(−210∘)=1sin(−210∘)=−1sin(210∘) (By trig ratios and identities) =-1/(sin(180^@+30^@)=−1sin(180∘+30∘) =-1/(-sin30^@)=−1−sin30∘ (By the 180^@180∘ rule) =2=2 (By standard triangle values) 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^\circ140∘? How do you find the value of cot 300^@cot300∘? What is the value of sin -45^@sin−45∘? How do you find the trigonometric functions of values that are greater than 360^@360∘? How do you use the reference angles to find sin210cos330-tan 135sin210cos330−tan135? How do you know if sin 30 = sin 150sin30=sin150? How do you show that (costheta)(sectheta) = 1(cosθ)(secθ)=1 if theta=pi/4θ=π4? See all questions in Trigonometric Functions of Any Angle Impact of this question 5430 views around the world You can reuse this answer Creative Commons License