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Q: Reciprocal of a cosine

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it would be secant, 1/cosine

Cosine.

Cosine.

Basically we have two. One is sine and the other is cosine Right from these two we can get tangent Reciprocal of sine is cosecant Reciprocal of cosine is secant Reciprocal of tangent is cotangent

The reciprocal of cosine is secant (short form: sec), which is the hypotenuse length divided by the adjacent length.

You can calculate the cosine and then its reciprocal.

1/cos(x)=sec(x). sec is short for secant.

Find the cosine of 38 degrees and then find its reciprocal.

The secant of an angle is the reciprocal of the cosine of the angle. So the secant is not defined whenever the cosine is zero That is, whenever the angle is a multiple of 180 degrees (or pi radians).

The sine of an angle is the cosine of its complement and conversely. The tan of an angle is the reciprocal of its complement.

Trigonometry includes 12 baisic functions. Sine, Cosine, and Tangent are the three most baisic. Each of those functions has a reciprocal. Cosine's reciprocal is Secant, Sine reciprocal is Cosecant, and Tangent's reciprocal is Cotangent. Each of those six functions has an inverse funcion called Inverse Sine, Cos etc... or Arcsine, Arcosine, Arcsecant, etc.... The shorthand for each function is sin, caos, tan, sec, csc, cot. The inverses have a -1 notation like sin-1.

The inverse of sine (sin) is cosecant (csc). The inverse of cosine (cos) is secant (sec). The inverse of tangent (tan) is cotangent (cot).

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.

cosecant = 1/sine secant = 1/cosine cotangent = 1/tangent

No. The inverse of the secant is called the arc-secant. The relation between the secant and the cosecant is similar to the relation between the sine and the cosine - they are somehow related, but they are not inverse functions. The secant is the reciprocal of the cosine (sec x = 1 / cos x). The cosecant is the reciprocal of the sine (cos x = 1 / sin x).

It is cosine*cosine*cosine.

Sine and cosine are cofunctions, which means that their angles are complementary. Consequently, sin (90° - x) = cos x. Secant is the reciprocal of cosine so that sec x = 1/(cos x). Knowing these properties of trigonometric functions, among others, will really help you in other advance math courses.

Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.

You mean, you have the cosine, and want the angle? That is called arc-cosine, often written as cos-1x. Your scientific calculator should have a "shift" key or something similar, which you press, followed by the cosine key. That will give you the inverse cosine or arc-cosine.

Cosine to the negative first power and cosine cancel each other out because cosine to the negative first power is one over cosine, and one over anything times anything is just one.

what is the cosine of 3.14 ?

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Cosine of 1 degree is about 0.999848. Cosine of 1 radian is about 0.540302.

The inverse of the cosine is the secant.

Cosine is 0.995