How do you express the value as a trigonometric function of an angle in Quadrant I given #csc(-330^circ)#? Trigonometry Right Triangles Relating Trigonometric Functions 1 Answer sankarankalyanam · Surya K. Mar 11, 2018 #color(blue)(csc (30) = 1 / sin 30 = (1 / (1/2)) = 2# Explanation: #theta = -330^@# can be written as #-330 + 360 = 30^@# #30^@# is an angle in the first quadrant where all the trigonometric functions are positive. #csc (30) = 1 / sin 30 = (1 / (1/2)) = 2# from the table above, #sin 30 = 1/2# #csc (30) = 1 / sin 30 = (1 / (1/2)) = 2# Answer link Related questions What does it mean to find the sign of a trigonometric function and how do you find it? What are the reciprocal identities of trigonometric functions? What are the quotient identities for a trigonometric functions? What are the cofunction identities and reflection properties for trigonometric functions? What is the pythagorean identity? If #sec theta = 4#, how do you use the reciprocal identity to find #cos theta#? How do you find the domain and range of sine, cosine, and tangent? What quadrant does #cot 325^@# lie in and what is the sign? How do you use use quotient identities to explain why the tangent and cotangent function have... How do you show that #1+tan^2 theta = sec ^2 theta#? See all questions in Relating Trigonometric Functions Impact of this question 8888 views around the world You can reuse this answer Creative Commons License