Domain and range of trigonometric functions: The properties of the 6 trigonometric functions: sin (x), cos (x), tan(x), cot (x), sec (x) and csc (x) are discussed. These include the graph, domain, range, asymptotes (if any), symmetry, x and y intercepts and maximum and minimum points. 1. Sine and Cosine: Domain: Since w(휃) is defined for any 휃 with os 휃 = 푥 and sin 휃 = 푦, there are no domain restrictions. . Range: The 푥-coordinate on the circle is smallest at (−1, 0), namely -1; the 푥-coordinate on the circle is largest at (1, 0), namely 1. 2. Tangent: Domain: Given w(휃) = (푥, 푦), we have tan 휃 = 푦 푥 . Now 푦 푥 is undefined when 푥 = 0. Range: Since 푦 푥 can be any number, rng(tan) = (−∞, ∞). 3. Cotangent: . Domain: This is similar to tangent. Given w(휃) = (푥, 푦), we have ot 휃 = 푥 푦 . Now 푥 푦 is undefined when 푦 = 0. Range: Now 푥 푦 can be anything, so rng( ot) = (−∞, ∞). 4. Secant Domain: Given w(휃) = (푥, 푦), we have se 휃 = 1 푥 . Now 1 푥 is undefined when 푥 = 0. Range: On the right semicircle, 푥 ranges from 1 down to 0, so 1 푥 ranges from 1 up to ∞. On the left semicircle, 푥 ranges from near 0 to −1, so 1 푥 ranges from −∞ up to −1. The trigonometric ratios can also be considered as functions of a variable which is the measure of an angle. This angle measure can either be given in degrees or radians . Here, we will use radians. Since any angle with a measure greater than 2 π radians or less than 0 is equivalent to some angle with measure , all the trigonometric functions are periodic. #OnlineLectures #EducationForFree #FullHD #HappyLearning #Engineering Thanks For Supporting Us Website - http://ekeeda.com Parent Channel - https://www.youtube.com/c/ekeeda Facebook - https://www.facebook.com/ekeeda.video Twitter - https://twitter.com/Ekeeda_Official Blogger - http://ekeeda.blogspot.in Pinterest - https://in.pinterest.com/ekeedavideo Digg - http://digg.com/u/ekeeda_Video Tumbler - https://www.tumblr.com/blog/ekeedavideo Reddit - https://www.reddit.com/user/ekeeda_Video LinkedIn- https://www.linkedin.com/in/ekeeda-video-4a5b83124 Happy Learning : )