QUESTION A
The equation is given to be:
Step 1: Apply the identity:
Therefore, we have:
Step 2: Multiply all through by cos x:
Step 3: Rewrite the equation
Step 4: Make the substitution for cos x = m
Step 5: Solve the quadratic equation using the quadratic formula
Step 6: Substitute for m back into the solution of the quadratic equation
Step 7: Solve for x by finding the cosine inverse of the solutions
or
The value of x is 128.17.
QUESTION B
The equation is:
Step 1: Rewrite the equation
Step 2: Multiply all through by cos x
Step 3: Rearrange the equation terms
Step 4: Make the substitution for cos x = m
Step 5: Solve the quadratic equation
Step 6: Substitute for m back into the solution of the quadratic equation
Step 7: Solve for x by finding the cosine inverse of the solutions
There is no solution for x.