The reciprocal of cosine is secant (short form: sec), which is the hypotenuse length divided by the adjacent length.
Cosecant(Csc) = 1 / Sin . Hence its recip[rocal is 'Sin'(Sine). Similarly Secant(Sec) = 1/ Cos . Hence its reciprocal is 'Cos'(Cosine) Cotangent(Cot) = 1 /Tan . Hence its reciprocal is 'Tan'(Tangent).
The statement "cot multiplied by cosec equals cos" is not accurate. In trigonometric terms, cotangent (cot) is the reciprocal of tangent, and cosecant (cosec) is the reciprocal of sine. Therefore, the correct relationship is ( \cot(x) \cdot \csc(x) = \frac{\cos(x)}{\sin^2(x)} ), which does not simplify to cosine. Instead, it highlights the relationship between these functions in terms of sine and cosine.
Inverse of Cosine is 'ArcCos' or Cos^(-1) The reciprocal of Cosine is !/ Cosine = Secant.
The magnitude of cos(135°) is the same as that of cos(45°) [cos(180° - 135°)], and the sign is negative because it is in the second quadrant of the Cartesian plane, so it's the reciprocal of the negative square root of two, about -0.707. The cosines of 2nd- and 3rd-quadrant angles are negative, and the sines of 3rd- and 4th-quadrant angles are negative.
The inverse of sine (sin) is cosecant (csc). The inverse of cosine (cos) is secant (sec). The inverse of tangent (tan) is cotangent (cot).
The answer is cos A . cos A = 1/ (sec A)
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)).
Cosecant(Csc) = 1 / Sin . Hence its recip[rocal is 'Sin'(Sine). Similarly Secant(Sec) = 1/ Cos . Hence its reciprocal is 'Cos'(Cosine) Cotangent(Cot) = 1 /Tan . Hence its reciprocal is 'Tan'(Tangent).
1/cos(x)=sec(x). sec is short for secant.
The statement "cot multiplied by cosec equals cos" is not accurate. In trigonometric terms, cotangent (cot) is the reciprocal of tangent, and cosecant (cosec) is the reciprocal of sine. Therefore, the correct relationship is ( \cot(x) \cdot \csc(x) = \frac{\cos(x)}{\sin^2(x)} ), which does not simplify to cosine. Instead, it highlights the relationship between these functions in terms of sine and cosine.
Inverse of Cosine is 'ArcCos' or Cos^(-1) The reciprocal of Cosine is !/ Cosine = Secant.
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).
The magnitude of cos(135°) is the same as that of cos(45°) [cos(180° - 135°)], and the sign is negative because it is in the second quadrant of the Cartesian plane, so it's the reciprocal of the negative square root of two, about -0.707. The cosines of 2nd- and 3rd-quadrant angles are negative, and the sines of 3rd- and 4th-quadrant angles are negative.
The inverse of sine (sin) is cosecant (csc). The inverse of cosine (cos) is secant (sec). The inverse of tangent (tan) is cotangent (cot).
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.
you solve secant angles when you have the hypotenuse and adjacent sides. sec=1/cos or, cos^-1 (reciprocal identity property) Tangent is solved when you have adjacent and opposite sides, or you can look at it as its what you use when you dont have the hypotenuse. tan=sin/cos or tan=opp/adj or tan=y/x
By converting everything to sines and cosines. Since tan x = sin x / cos x, in the cotangent, which is the reciprocal of the tangent: cot x = cos x / sin x. You can replace any other variable (like thetha) for the angle.