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受欢迎的三角函数 >

solvefor w,P=4(Y/(Psin(w)))

解答

求解

w, P = 4 (\frac{Y}{P sin ( w )})

解答

w = arcsin (\frac{4 Y}{P ^{2}}) + 2 πn, w = π + arcsin (- \frac{4 Y}{P ^{2}}) + 2 πn

求解步骤

P = 4 (\frac{Y}{P sin ( w )})

交换两边

4 \cdot \frac{Y}{P sin ( w )} = P

化简

4 \cdot \frac{Y}{P sin ( w )} : \frac{4 Y}{P sin ( w )}

4 \cdot \frac{Y}{P sin ( w )}

分式相乘:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{Y \cdot 4}{P sin ( w )}

\frac{4 Y}{P sin ( w )} = P

在两边乘以

sin (w)

\frac{4 Y}{P sin ( w )} = P

在两边乘以

sin (w)

\frac{4 Y}{P sin ( w )} sin (w) = P sin (w)

化简

\frac{4 Y}{P} = P sin (w)

\frac{4 Y}{P} = P sin (w)

交换两边

P sin (w) = \frac{4 Y}{P}

两边除以

P; P \neq = 0

P sin (w) = \frac{4 Y}{P}

两边除以

P; P \neq = 0

\frac{P sin ( w )}{P} = \frac{\frac{4 Y}{P}}{P}; P \neq = 0

化简

\frac{P sin ( w )}{P} = \frac{\frac{4 Y}{P}}{P}

化简

\frac{P sin ( w )}{P} : sin (w)

\frac{P sin ( w )}{P}

约分:

P

= sin (w)

化简

\frac{\frac{4 Y}{P}}{P} : \frac{4 Y}{P ^{2}}

\frac{\frac{4 Y}{P}}{P}

使用分式法则:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{4 Y}{PP}

PP = P^{2}

PP

使用指数法则:

a^{b} \cdot a^{c} = a^{b + c}

PP = P^{1 + 1}

= P^{1 + 1}

数字相加:

1 + 1 = 2

= P^{2}

= \frac{4 Y}{P ^{2}}

sin (w) = \frac{4 Y}{P ^{2}}; P \neq = 0

sin (w) = \frac{4 Y}{P ^{2}}; P \neq = 0

sin (w) = \frac{4 Y}{P ^{2}}; P \neq = 0

使用反三角函数性质

sin (w) = \frac{4 Y}{P ^{2}}

sin (w) = \frac{4 Y}{P ^{2}}

的通解

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π + arcsin (a) + 2 πn

w = arcsin (\frac{4 Y}{P ^{2}}) + 2 πn, w = π + arcsin (- \frac{4 Y}{P ^{2}}) + 2 πn

w = arcsin (\frac{4 Y}{P ^{2}}) + 2 πn, w = π + arcsin (- \frac{4 Y}{P ^{2}}) + 2 πn

作图

流行的例子

tan(2θ)=(500)/(350-75)

tan (2 θ) = \frac{500}{350 - 75}

sec (a) = - 2

tan^2(γ)+1=cos^2(γ)

tan^{2} (γ) + 1 = cos^{2} (γ)

sin^2(x)+8sin(x)-9=0

sin^{2} (x) + 8 sin (x) - 9 = 0

-2sin^2(θ)+10sin(θ)-3=3sin(θ),0<= θ<360

- 2 sin^{2} (θ) + 10 sin (θ) - 3 = 3 sin (θ), 0^{\circ} \leq θ < 36 0^{\circ}