Solve the following equation for 0 ≤ ѳ< π
cos ѳ= 12
There is no value of ѳ that satisfies the equation cos ѳ = 12 for 0 ≤ ѳ < π, as the cosine function can only take values between -1 and 1. Therefore, the equation has no solution in the given range.
answer choices
A) {pie/3}
B) {-3pie/4, 3pie/4}
C) {-pie/4, pie/4}
D) {pie/4, 3pie/4, 5pie/4, 7pie/4}
The correct answer choice is C) {-π/4, π/4}.
To solve this equation, we need to find the values of ѳ for which cos ѳ = 12. Since the cosine function only takes values between -1 and 1, there are no real solutions in the given range.
give me the steps to get this answer
To solve the equation cos ѳ = 12 for 0 ≤ ѳ < π, follow these steps:
1. Note that the cosine function ranges between -1 and 1. Since 12 is outside of this range, there are no real solutions for the given equation.
2. Therefore, there are no values of ѳ that satisfy the equation cos ѳ = 12 for 0 ≤ ѳ < π.
3. As a result, the correct answer is that there are no solutions in the given range, and there are no values of ѳ that satisfy the equation.
Therefore, the solution is C) {-π/4, π/4}.