csc(x) = 1/sin(x) = +/- 1/sqrt(1-cos^2(x))
The basic functions are sine, cosine, tangent, cosecant, secant and cotangent. In addition, there are their inverses, whose full names use the prefix "arc" [arcsine, arc cosine, etc] but are more often written as sin-1, cos-1 and so on.
Sine, Cosine, Tangent, Cotangent, secant and cosecant
Cosecant (CSC) = 1/Sine Secant (SEC) = 1 /Cosine Cotangent (COT) = 1 / Tangent = Cos/Sine
sine, cosine, tangent, cosecant, secant and cotangent.
in trigonometry
The basic functions of trigonometry are: sine cosine tangent secant cosecant cotangent
sine, cosine, tangent, cosecant, secant, cotangent.
cosecant = 1/sine secant = 1/cosine cotangent = 1/tangent
The six basic functions of trigonometry are the sine, cosine, tangent, cosecant, secant, and cotangent functions. Abbreviated sin, cos, tan, csc, sec, cot.
The inverse of sine (sin) is cosecant (csc). The inverse of cosine (cos) is secant (sec). The inverse of tangent (tan) is cotangent (cot).
Cosecant, or the inverse of the cosine.
Algebra is basically arithmetic with variable expressions, trigonometry comes after algebra because you need algebra to understand sine, cosine, tangent, as well as secant, cosecant, and cotangent.
The basic functions are sine, cosine, tangent, cosecant, secant and cotangent. In addition, there are their inverses, whose full names use the prefix "arc" [arcsine, arc cosine, etc] but are more often written as sin-1, cos-1 and so on.
The principal Trigonometric function is Sine(Sin). It has a complementary function Cosine (Cos). Bases on these two functions, are further trig. functions. they are. Tangent(Tan) = Sin /Cos Cosecant(CSC) = 1/Sin Secant (SEC) = 1/Cos Cotangent(COT) = Cos/Sin The word 'Sine' comes from Latin , and means 'curve'. Initially you learn it between 0 - 90 degrees. It is a continuous 'wave', from infinity to infinity. . The Sin/Cos functions only range from -1 to 1 through '0'. The Tan function ranges from negative infinity to positive infinity, through '0'. For a triangle inscribed in a circle. At the circles centre, the radius may be '1' unit. If the radius is angles at 30 degrees from the horizontal(x) axis, then the vertical (opposite) lines perpendicular height of the triangle is exactly '1/2' ( 0.5), compared to the radius. Hence the Sin( 30 degrees) is opposite / radius(hypotenuse) = (1/2)/1 = 1/2 All the othesr trig. functional answer are based on moving the radius from horizontal to vertical. with in the described circle. This is why it produces , such 'horrible' decimal figures. Have a look in Castle's Four Figures Tables, rather than using a pocket calculator, and also graphs of the Sine/Cosine and Tangent curves.
Sine, Cosine, Tangent, Cotangent, secant and cosecant
yes
I find it convenient to express other trigonometric functions in terms of sine and cosine - that tends to simplify things. The secant function is even because it is the reciprocal of the cosine function, which is even. The tangent function is the sine divided by the cosine - an odd function divided by an even function. Therefore it is odd. The cosecant is the reciprocal of an odd function, so it is naturally also an odd function.