Solve Deltat=-17.54*10^-3(0-2.5*10^-2)cosθ/1.5=

$$\Delta t = - 1 \frac { 7.54 \times 10 ^ { - 3 } ( 0 - 2.5 \times 10 ^ { - 2 } ) \cos \theta } { 1.5 } =$$

Solve for t

$$\left\{\begin{matrix}t=\frac{377\cos(\theta )}{3000000\Delta }\text{, }&\Delta \neq 0\\t\in \mathrm{R}\text{, }&\exists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}+\frac{\pi }{2}\text{ and }\Delta =0\end{matrix}\right.$$

Steps for Solving Linear Equation

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\Delta t=-\frac{7.54\times \frac{1}{1000}\left(0-2.5\times 10^{-2}\right)\cos(\theta )}{1.5}$$

Multiply 7.54 and \frac{1}{1000} to get \frac{377}{50000}.

$$\Delta t=-\frac{\frac{377}{50000}\left(0-2.5\times 10^{-2}\right)\cos(\theta )}{1.5}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\Delta t=-\frac{\frac{377}{50000}\left(0-2.5\times \frac{1}{100}\right)\cos(\theta )}{1.5}$$

Multiply 2.5 and \frac{1}{100} to get \frac{1}{40}.

$$\Delta t=-\frac{\frac{377}{50000}\left(-\frac{1}{40}\right)\cos(\theta )}{1.5}$$

Multiply \frac{377}{50000} and -\frac{1}{40} to get -\frac{377}{2000000}.

$$\Delta t=-\frac{-\frac{377}{2000000}\cos(\theta )}{1.5}$$

Divide -\frac{377}{2000000}\cos(\theta ) by 1.5 to get -\frac{377}{3000000}\cos(\theta ).

$$\Delta t=-\left(-\frac{377}{3000000}\right)\cos(\theta )$$

Multiply -1 and -\frac{377}{3000000} to get \frac{377}{3000000}.

$$\Delta t=\frac{377}{3000000}\cos(\theta )$$

The equation is in standard form.

$$\Delta t=\frac{377\cos(\theta )}{3000000}$$

Divide both sides by \Delta .

$$\frac{\Delta t}{\Delta }=\frac{377\cos(\theta )}{3000000\Delta }$$

Dividing by \Delta undoes the multiplication by \Delta .

$$t=\frac{377\cos(\theta )}{3000000\Delta }$$

Solve for Δ

$$\left\{\begin{matrix}\Delta =\frac{377\cos(\theta )}{3000000t}\text{, }&t\neq 0\\\Delta \in \mathrm{R}\text{, }&\exists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}+\frac{\pi }{2}\text{ and }t=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\Delta t=-\frac{7.54\times \frac{1}{1000}\left(0-2.5\times 10^{-2}\right)\cos(\theta )}{1.5}$$

Multiply 7.54 and \frac{1}{1000} to get \frac{377}{50000}.

$$\Delta t=-\frac{\frac{377}{50000}\left(0-2.5\times 10^{-2}\right)\cos(\theta )}{1.5}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\Delta t=-\frac{\frac{377}{50000}\left(0-2.5\times \frac{1}{100}\right)\cos(\theta )}{1.5}$$

Multiply 2.5 and \frac{1}{100} to get \frac{1}{40}.

$$\Delta t=-\frac{\frac{377}{50000}\left(-\frac{1}{40}\right)\cos(\theta )}{1.5}$$

Multiply \frac{377}{50000} and -\frac{1}{40} to get -\frac{377}{2000000}.

$$\Delta t=-\frac{-\frac{377}{2000000}\cos(\theta )}{1.5}$$

Divide -\frac{377}{2000000}\cos(\theta ) by 1.5 to get -\frac{377}{3000000}\cos(\theta ).

$$\Delta t=-\left(-\frac{377}{3000000}\right)\cos(\theta )$$

Multiply -1 and -\frac{377}{3000000} to get \frac{377}{3000000}.

$$\Delta t=\frac{377}{3000000}\cos(\theta )$$

The equation is in standard form.

$$t\Delta =\frac{377\cos(\theta )}{3000000}$$

Divide both sides by t.

$$\frac{t\Delta }{t}=\frac{377\cos(\theta )}{3000000t}$$

Dividing by t undoes the multiplication by t.

$$\Delta =\frac{377\cos(\theta )}{3000000t}$$