Verify sin^4x − sin^2x = cos^4x − cos^2x is an identity
2 answers:
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ANSWER
1a)
The given system of equation is:
and
We make x the subject in equation (2) to get;
We put equation (3) into equation (1) to get;
We expand the bracket to get,
This implies that,
This statement is false.
Hence the system has no solution.
1b)
Let us write the two systems in the slope-intercept form;
For the first equation, we have
Thus implies that,
For the second equation, we have:
We can see that, the two equations are parallel since they have the same slope.
Also the two equations will never meet since they have different y-intercepts.
Hence the system has no solution.
1a)
The given system of equation is:
and
We make x the subject in equation (2) to get;
We put equation (3) into equation (1) to get;
We expand the bracket to get,
This implies that,
This statement is false.
Hence the system has no solution.
1b)
Let us write the two systems in the slope-intercept form;
For the first equation, we have
Thus implies that,
For the second equation, we have:
We can see that, the two equations are parallel since they have the same slope.
Also the two equations will never meet since they have different y-intercepts.
Hence the system has no solution.