0
Sin(30) = 1/2
Sin(45) = root(2)/2
Sin(60) = root(3)/2
Cos(30) = root(3)/2
Cos(45) = root(2)/2
Cos(60) = 1/2
Tan(30) = root(3)/3
Tan(45) = 1
Tan(60) = root(3)
Csc(30) = 2
Csc(45) = root(2)
Csc(60) = 2root(3)/3
Sec(30) = 2root(3)/3
Sec(45) = root(2)
Sec(60) = 2
Cot(30) = root(3)
Cot(45) = 1
Cot(60) = root(3)/3
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How do you simplify csc theta cot theta?
There are 6 basic trig functions.sin(x) = 1/csc(x)cos(x) = 1/sec(x)tan(x) = sin(x)/cos(x) or 1/cot(x)csc(x) = 1/sin(x)sec(x) = 1/cos(x)cot(x) = cos(x)/sin(x) or 1/tan(x)---- In your problem csc(x)*cot(x) we can simplify csc(x).csc(x) = 1/sin(x)Similarly, cot(x) = cos(x)/sin(x).csc(x)*cot(x) = (1/sin[x])*(cos[x]/sin[x])= cos(x)/sin2(x) = cos(x) * 1/sin2(x)Either of the above answers should work.In general, try converting your trig functions into sine and cosine to make things simpler.
What is the Sine reciprocal?
Sine Its reciprocal is Cosecant Algebraically Sin ; Reciprocal is '1/ Sin' known as 'Cosecant(Csc)'. Similarly Cos(Cosine) ; 1/ Cos (Secant(Sec)) Tan(Tangent) ; 1/ Tan ( Cotangent(Cot)).
What are the 6 trig functions for 0 degrees 90 degrees 180 degrees 270 degrees?
sin(0) = 0, sin(90) = 1, sin(180) = 0, sin (270) = -1 cos(0) = 1, cos(90) = 0, cos(180) = -1, cos (270) = 0 tan(0) = 0, tan (180) = 0. cosec(90) = 1, cosec(270) = -1 sec(0) = 1, sec(180) = -1 cot(90)= 0, cot(270) = 0 The rest of them: tan(90), tan (270) cosec(0), cosec(180) sec(90), sec(270) cot(0), cot(180) are not defined since they entail division by zero.
What is the value of the six trigonometric functions of 90?
sin(90°) = 1 cos(90°) = 0 tan(90°) = ∞ sec(90°) = ∞ csc(90°) = 1 cot(90°) = 0
What is the reciprocal function of sin a?
Sin(A) = Opposite/Hypotenuse Its reciprotcal is 1/Sin(A) = Cosecant(A) = Csc(A) = Hypotenuse / Opposite. Similarly Cos(A) = Adjacent/Hypotenuse Its reciprotcal is 1/Cos(A) = Secant(A) = Sec(A) = Hypotenuse / Adjacent Tan(A) = Opposite/Adjacent Its reciprotcal is 1/Tan(A) = Cotangent(A) = Cot(A) = Adjacent / Opposite.
