0
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0answers
20 views

Strategies to work with system of trigonometric inequality

I'm trying solve this problem using matlab, anybody know good strategies to work with system of trigonometric inequalities such as $ ...
3
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3answers
100 views

Need help with simple system of differential equations

thanks to your help I advanced in computing differential equations, but now I encountered another problem I need help with - this time it is a system of differential equations: $$x_1'=-x_2$$ ...
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1answer
30 views

Find the height of the dam given angles of a triangle

The top of a dam has an angle of elevation of 1.3 radians from a point on a river. Measuring the angle of elevation to the top of the dam from a point 155 feet farther downriver is 0.8 radians; assume ...
1
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1answer
45 views

solving a non-linear (trigonometric) system of equations with two equations and two variables

I'm trying to solve the following system of equations: $$l_1*sin(\alpha)=l_2*cos(\gamma)+l_3*sin(\beta)$$ $$l_2*sin(\gamma)+l_1*cos(\alpha)=l_3*cos(\beta)+l_4$$ with the unknowns $\beta$, $\gamma$ ...
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1answer
53 views

Solve the system of equations…!

Can you please help me solve this system of equations (frankly I have no idea, it's the first equation of this type that I solve, so please, write only a hint): $$ \left\{ \begin{array}{c} x-\arctan ...
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votes
1answer
27 views

Solving a system of trig equations

My book somehow got from those top two equations in the picture and solved for v'2(t) + v'1(t). I don't see how they did this? Can anyone see the trick for this type of problem?
1
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0answers
16 views

A method of calculation coordinates in order to implement it to a code language!

lets say that we have three points A(xa,ya,za), B(xb,yb,zv), C(xc,yc,zc) with known coordinates in 3d space. Is there a method to calculate the coordinates (x,y,z) of another point D for which the ...
0
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0answers
22 views

limitations of non linear multivariant equation solvers

I have a system of non-linear multivariate equations. I am only interested in the roots of the system in an interval of each variable. For example, $$ \begin{align} \frac{1}{10} \sin \left( \frac{x ...
0
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1answer
38 views

How to create a coefficient matrix from a system with sin and cos functions

I'm struggling a bit. I want to create a coefficient matrix from a system of equations where there are some sinus terms in it. For example if I have the equations: $$ \sin(x_1) + 3x_2 + 4x_3 = 0 $$ ...
0
votes
1answer
50 views

Simplifying a coupled-pendulum equation by assumption

I have been given the following question and I am unsure if I am missing an assumption or if I am misunderstanding something else: Two identitical pendula each of length $\ell$ and with bobs of ...
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0answers
45 views

How to solve a system of equations with 3 variables?

$$13 = V_{pf} \cdot (0.0518)+V_{bf} \cdot \cos\theta_b$$ $$0=-V_{pf} \cdot (0.9659)+5V_{bf} \cdot \sin\theta_b$$ $$845=V_{pf}^2+5V_{bf}^2$$ Okay, so I'm at the very last part of a word problem and ...
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vote
1answer
35 views

Solving equations of the following form

I am currently studying resolution of concurrent forces and I have come across equations of the following type $$P\cos \theta+Q\sin \phi=C_1$$ $$P\sin \theta+Q\cos \phi=C_2$$ where $P$,$Q$,$C_1$and ...
1
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1answer
86 views

How can I derive differential equations for polar coordinates based on these equations?

A textbook I am using on my own to study differential equations contains a problem: given the two differential equations for $x,y$ below and a real value of $t$, derive the differential equations for ...
2
votes
1answer
78 views

A Nonlinear System of Trigonometric Equations

folks! I am getting the following system of trigonometric equations which has come as a product of my research. But, I have tried a lot with no success, to solve this system. Can anyone help? Thank ...
1
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0answers
136 views

Solving system if equations containing trigonometric functions with Ti-Nspire

In trying to solve the following system of equation: $20000\times9.81+a\cos b=0$ $a\sin b=6.17\times20000$ Find $a$ and $b$ . It gives me something containing "n2" in bold and I don't know why? ...
3
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1answer
45 views

Solution to a trigonometric system

Find the solutions of the system $$\sin a-\frac{\sqrt{3}}{3}\sin b=0$$ $$\frac{\tan 2a-2\tan a}{\tan 2b}\cdot\frac{\tan 2b-2\tan b}{\tan 2a} =1$$ How to work with them ? Thanks
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0answers
34 views

Solving a System of Equations with Cosine

How do I solve a system of equations when there is a cosine. Here is the system: $$ \left\{ \begin{array}{c} a+b=77° \\ \cos(a)=\frac{y}{3.5} \\ \cos(a)=\frac{y+1}{3.5+x} \\ ...
1
vote
2answers
41 views

Checking the equality of an equation(Trigonometery)

The equation $\displaystyle\cos^2\theta=\frac{(x+y)^2}{4xy}$ is only possible when What i need to compare is x and y and derive a relation between them i.)x ii.)x=-y iii.)x>y iv.)x=y Pls ...
10
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3answers
970 views

A system of equations with 5 variables

Find the real numbers $a, b, c, d, e$ in $[-2, 2]$ that simultaneously satify the following relations: $$a+b+c+d+e=0$$ $$a^3+b^3+c^3+d^3+e^3=0$$ $$a^5+b^5+c^5+d^5+e^5=10$$ I suppose that the key is ...