how can i solve for an angle if it is associated in the equation with cos and sin.

syms D

w=1.65;

d=0.1;

B=20*pi/180;

I=-25*pi/180;

a=B+I;

e=14*pi/180;

c=sqrt((w/d-sin(B))^2-cos(B-D)-cos(a)^2);

solve(' -sin(a)-sin(B-D)+w/d-c',D)

In the above equation, D is unknown, I need to find out the value for D.

as I have tried as the code mentioned. but it gives me an error. can anyone please help me to fix this problem, as I am new to the software. thanks in advance.

[GEEVARGHESE TITUS]

c is also unknown.. can you show the code you have written

[Kush Kumar Nepal]

@GEEVARGHESE TITUS

sin (B + Di) + sin(B - Do) = w/d - sqrt((w/d-2sinB)^2-cos(B-Do)-cos(B+Di)^2)

This is the equation I am trying to solve, where the values are given for w,d,Di,B except Do. Do is to find out.

function y = kush

syms D

w=1.65;

d=0.1;

B=20*3.1416/180;

I=-25*3.1416/180;

a=B+I;

e=14*pi/180;

c=sqrt((w/d-sin(B))^2-cos(B-D)-cos(a)^2);

y= -sin(a)-sin(B-D)+w/d-c;

end

can you please suggests me how can I solve this. Thank you

Answer 1

[Sonam Gupta]

You can refer to the documentation of 'solve' here:

http://in.mathworks.com/help/symbolic/solve-an-algebraic-equation.html

You can change your code as below:

syms D
w=1.65;
d=0.1;
B=20*3.1416/180;
I=-25*3.1416/180;
a=B+I;
e=14*pi/180;
c=sqrt((w/d-sin(B))^2-cos(B-D)-cos(a)^2);
solve(sin(B - D)+sqrt((w/d-2*sin(B))^2-cos(B-D)-cos(B+I)^2) == w/d - sin(B + I) ,  D)

If you want answer to be in numeric values, you can use 'fsolve'. See the link below for the same:

https://in.mathworks.com/help/optim/ug/fsolve.html

Hope this helps!