# How do you solve #2cos^2(x)+ 4sin^2(x)=3#?

Subtract 2 from both ends to get:

Divide both sides by 2 to get:

By signing up, you agree to our Terms of Service and Privacy Policy

To solve the equation (2\cos^2(x) + 4\sin^2(x) = 3), follow these steps:

- Use the Pythagorean identity: (\sin^2(x) + \cos^2(x) = 1).
- Substitute (\sin^2(x) = 1 - \cos^2(x)) into the equation.
- Simplify the equation using the substitution and distribute the constants.
- Combine like terms and move all terms to one side to set the equation equal to zero.
- Factor the quadratic equation.
- Solve for (\cos(x)).
- Find the solutions for (x) by taking the inverse cosine of the solutions for (\cos(x)).
- Verify solutions by substituting them back into the original equation to ensure they satisfy the equation.

Following these steps, you can find the solutions for (x) that satisfy the given equation.

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.

- What is #tan(theta/2)# in terms of trigonometric functions of a unit #theta#?
- How do you verify the identity #-2cos^2theta=sin^4theta-cos^4theta-1#?
- How do you simplify #cos^3x + sin^2xcosx#?
- How do you use the half-angle identity to find the exact value of cos [ - (3pi) / 8]?
- Write each expression as a single angle and evaluate if possible? 2Sin30°Cos30°

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