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All six trigonometric functions can take the value 1.
Six.
SineCosineTangentSecantCosecantCotangent
1
The six basic trigonometric functions are applicable to almost all angles. The few exceptions are tan(pi/2 + n*pi) cosec(n*pi) sec(pi/2 + n*pi) cot(n*pi) where n is an integer. This is because the functions are undefined at these values.
Sine Cosine Tangent ArcSine ArcCosine ArcTangent
sine, cosine, tangent, cosecant, secant and cotangent.
The trigonometric functions give ratios defined by an angle. Whenever you have an angle and a side in right triangle, you can find all the other angles and sides using the six trigonometric functions and their inverses. The link below demonstrates the relationship between functions.
6 Six 6 CBRNE 6
They are all one-to-one as they all pass the vertical line test.
All the trigonometric functions are derived from the right angled triangle. If we consider the three sides (AB, BC, CA) of a triangle and the included angle. There is a possibility of getting six functions based on the ratios like AB/AC, BC/AC, AB/BC, BC/AB, AC/BC, AC/AB . So we will have six trigonometric functions
sin(-120)=sqrt(3)/2 cos(-120)=-1/2 tan(-120)=-sqrt(3) csc(-120)=2/sqrt(3) sec(-120)=-2 cot(-120)=-1/sqrt(3)