To solve this equation, we can treat it as a quadratic equation in terms of cos x:
cos^2 x + 13cos x - 14 = 0
Now, we can factor this quadratic equation:
(cos x + 14)(cos x - 1) = 0
Setting each factor to zero and solving for cos x, we get:
cos x + 14 = 0 or cos x - 1 = cos x = -14 or cos x = 1
However, the cosine function only has values between -1 and 1, so the only valid solution is:
cos x = 1
Therefore, the solution to the equation cos^2 x + 13 cos x = 14 is x = 0.
To solve this equation, we can treat it as a quadratic equation in terms of cos x:
cos^2 x + 13cos x - 14 = 0
Now, we can factor this quadratic equation:
(cos x + 14)(cos x - 1) = 0
Setting each factor to zero and solving for cos x, we get:
cos x + 14 = 0 or cos x - 1 =
cos x = -14 or cos x = 1
However, the cosine function only has values between -1 and 1, so the only valid solution is:
cos x = 1
Therefore, the solution to the equation cos^2 x + 13 cos x = 14 is x = 0.