Solve for H
H=-5\cos(\theta )\left(\cos(\theta )-7\sin(\theta )\right)
Graph
Share
Copied to clipboard
H\times 0.2=7\sin(\theta )\cos(\theta )-\left(\cos(\theta )\right)^{2}
Subtract \left(\cos(\theta )\right)^{2} from both sides.
0.2H=-\left(\cos(\theta )\right)^{2}+\frac{7}{2}\sin(2\theta )
The equation is in standard form.
\frac{0.2H}{0.2}=\frac{\cos(\theta )\left(7\sin(\theta )-\cos(\theta )\right)}{0.2}
Multiply both sides by 5.
H=\frac{\cos(\theta )\left(7\sin(\theta )-\cos(\theta )\right)}{0.2}
Dividing by 0.2 undoes the multiplication by 0.2.
H=5\cos(\theta )\left(7\sin(\theta )-\cos(\theta )\right)
Divide \cos(\theta )\left(7\sin(\theta )-\cos(\theta )\right) by 0.2 by multiplying \cos(\theta )\left(7\sin(\theta )-\cos(\theta )\right) by the reciprocal of 0.2.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}