How do you solve #2cosx+3=0# in the interval #0<=x<=2pi#?
No solution
Hence, there is no solution.
By signing up, you agree to our Terms of Service and Privacy Policy
To solve the equation (2\cos(x) + 3 = 0) in the interval (0 \leq x \leq 2\pi), follow these steps:
-
Subtract 3 from both sides of the equation: [ 2\cos(x) = -3 ]
-
Divide both sides by 2: [ \cos(x) = -\frac{3}{2} ]
-
Since cosine is negative in the second and third quadrants, and the interval is (0 \leq x \leq 2\pi), we need to find the solutions in those quadrants.
-
Find the reference angle for ( \cos(x) = \frac{3}{2} ). Since the cosine function is not defined for values greater than 1 or less than -1, there are no real solutions in this interval. Therefore, the equation has no solution in the given interval.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- How do you express #sin^4theta+csc^2theta # in terms of non-exponential trigonometric functions?
- How do you simplify #3cos8theta-6sin4theta# to trigonometric functions of a unit #theta#?
- Sine (45 + x )?
- How do you express #tan theta - cot theta # in terms of #cos theta #?
- How do you simplify 6 sin(t) + 7 tan(t)/tan(t)?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7