return complex(math.Inf(1), math.NaN())
		}
	case im == 0 && math.IsNaN(re):
		return complex(math.NaN(), im)
	}
	s, c := math.Sincos(imag(x))
	sh, ch := sinhcosh(real(x))
	return complex(c*ch, s*sh)
}

// calculate sinh and cosh.
func sinhcosh(x float64) (sh, ch float64) {
	if math.Abs(x) <= 0.5 {
		return math.Sinh(x), math.Cosh(x)
	}
	e := math.Exp(x)
	ei := 0.5 / e
	e *= 0.5

// license that can be found in the LICENSE file.

package math

// Coefficients _sin[] and _cos[] are found in pkg/math/sin.go.

// Sincos returns Sin(x), Cos(x).
//
// Special cases are:
//
//	Sincos(±0) = ±0, 1
//	Sincos(±Inf) = NaN, NaN
//	Sincos(NaN) = NaN, NaN
func Sincos(x float64) (sin, cos float64) {
	const (
		PI4A = 7.85398125648498535156e-1  // 0x3fe921fb40000000, Pi/4 split into three parts

	for i := 0; i < len(trigHuge); i++ {
		f1, g1 := sinHuge[i], cosHuge[i]
		f2, g2 := Sincos(trigHuge[i])
		if !close(f1, f2) || !close(g1, g2) {
			t.Errorf("Sincos(%g) = %g, %g, want %g, %g", trigHuge[i], f2, g2, f1, g1)
		}
		f3, g3 := Sincos(-trigHuge[i])
		if !close(-f1, f3) || !close(g1, g3) {
			t.Errorf("Sincos(%g) = %g, %g, want %g, %g", -trigHuge[i], f3, g3, -f1, g1)
		}
	}
}

// license that can be found in the LICENSE file.

package cmplx

import "math"

// Rect returns the complex number x with polar coordinates r, θ.
func Rect(r, θ float64) complex128 {
	s, c := math.Sincos(θ)
	return complex(r*c, r*s)

			} else {
				return complex(math.Inf(1.0), math.NaN())
			}
		}
	case math.IsNaN(re):
		if im == 0 {
			return complex(math.NaN(), im)
		}
	}
	r := math.Exp(real(x))
	s, c := math.Sincos(imag(x))
	return complex(r*c, r*s)

		return complex(0, 0)
	}
	r := math.Pow(modulus, real(y))
	arg := Phase(x)
	theta := real(y) * arg
	if imag(y) != 0 {
		r *= math.Exp(-imag(y) * arg)
		theta += imag(y) * math.Log(modulus)
	}
	s, c := math.Sincos(theta)
	return complex(r*c, r*s)

			//                 1    -s-c            -c+s
			//                 2    -s+c            -c-s
			//                 3     s+c             c-s

			var temp float64
			switch s, c := Sincos(x); n & 3 {
			case 0:
				temp = c + s
			case 1:
				temp = -c + s
			case 2:
				temp = -c - s
			case 3:
				temp = c - s
			}
			b = (1 / SqrtPi) * temp / Sqrt(x)
		} else {

func ExampleCosh() {
	fmt.Printf("%.2f", math.Cosh(0))
	// Output: 1.00
}

func ExampleSin() {
	fmt.Printf("%.2f", math.Sin(math.Pi))
	// Output: 0.00
}

func ExampleSincos() {
	sin, cos := math.Sincos(0)
	fmt.Printf("%.2f, %.2f", sin, cos)
	// Output: 0.00, 1.00
}

func ExampleSinh() {
	fmt.Printf("%.2f", math.Sinh(0))
	// Output: 0.00
}

func ExampleTan() {
	fmt.Printf("%.2f", math.Tan(0))

	)
	// special cases
	switch {
	case IsNaN(x):
		return x
	case IsInf(x, 0) || x == 0:
		return 0
	}

	sign := false
	if x < 0 {
		x = -x
		sign = true
	}
	if x >= 2 {
		s, c := Sincos(x)
		ss := -s - c
		cc := s - c

		// make sure x+x does not overflow
		if x < MaxFloat64/2 {
			z := Cos(x + x)
			if s*c > 0 {
				cc = z / ss
			} else {
				ss = z / cc
			}
		}

	)
	// special cases
	switch {
	case IsNaN(x):
		return x
	case IsInf(x, 0):
		return 0
	case x == 0:
		return 1
	}

	x = Abs(x)
	if x >= 2 {
		s, c := Sincos(x)
		ss := s - c
		cc := s + c

		// make sure x+x does not overflow
		if x < MaxFloat64/2 {
			z := -Cos(x + x)
			if s*c < 0 {
				cc = z / ss
			} else {
				ss = z / cc
			}
		}