(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.
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).
tan(9) + tan(81) - tan(27) - tan(63) = 4
6.25
The tangent function is a periodic function with period 180 degrees sotan(360) = tan(360-2*180) = tan(0) = 0.
tan(135) = -tan(180-135) = -tan(45) = -1
Tangent repeats every 180 degrees, so Tan(180 + a) = tan(a). This site has several useful identities.http://www.mathwords.com/t/trig_identities.htm
If tan 3a is equal to sin cos 45 plus sin 30, then the value of a = 0.4.
(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.
tan2(theta) + 5*tan(theta) = 0 => tan(theta)*[tan(theta) + 5] = 0=> tan(theta) = 0 or tan(theta) = -5If tan(theta) = 0 then tan(theta) + cot(theta) is not defined.If tan(theta) = -5 then tan(theta) + cot(theta) = -5 - 1/5 = -5.2
The value of tan A is not clear from the question.However, sin A = sqrt[tan^2 A /(tan^2 A + 1)]
You find the smallest positive value y such that tan(x + y) = tan(x) for all x.
If ø is an obtuse angle then (180 - ø) is an acute angle and: sin ø = sin (180 - ø) cos ø = -cos (180 - ø) tan ø = -tan (180 - ø)
tan u/2 = sin u/1+cos u
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).
tan(9) + tan(81) - tan(27) - tan(63) = 4
sin(180) = 0 cos(180) = -1 tan(180) = 0 cosec(180) is not defined sec(180) = -1 cot(180) is not defined.