For tan(180 degrees), this is simply sin(180 degrees)/cos(180 degrees). To find these values, note that 180 degrees is the leftmost point on the unit circle, at y=0, x=-1, so is tan(180 degrees)=0/-1=0. Then adding 15 gives 15.
Chat with our AI personalities
(in a past paper it asks u to solve this for -180</=theta<180, so I have solved it) Tan theta =-1, so theta = -45. Use CAST diagram to find other values of theta for -180</=theta<180: Theta (in terms of tan) = -ve, other value is in either S or C. But because of boundaries value can only be in S. So other value= 180-45=135. Do the same for sin. Sin theta=2/5 so theta=23.6 CAST diagram, other value in S because theta (in terms of sin)=+ve. So other value=180-23.6=156.4.
tan(9) + tan(81) - tan(27) - tan(63) = 4
It is used when a function takes the same values after some fixed interval, and multiples of that interval. For example, tan(x) = tax(x + 180) = tan(x + 360) = tan(x + n*180) for all integer values of n. So tan is said to be periodic, with period 180 degrees (or π radians).
6.25
The tangent function is a periodic function with period 180 degrees sotan(360) = tan(360-2*180) = tan(0) = 0.