If 3 sinA+4 cosA=5 then prove that:sinA=3/5.
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So we have the system of equations:
equation (1)
equation (2)
To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for
in equation (2):
equation (3)
Replacing equation (3) in equation (1):
equation (4)
Replacing equation (4) in equation (3):
We can conclude that the solution of our system of equations is <span>(7/5, 21/10)</span>
To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for
Replacing equation (3) in equation (1):
Replacing equation (4) in equation (3):
We can conclude that the solution of our system of equations is <span>(7/5, 21/10)</span>
Swapping rows alters the sign of the determinant:
Multiplying a single row by a scalar scales the determinant by the same amount:
Then