How do you simplify #2cos(10x) + 4cos(5x)#?
Simplify y = 2cos (10x) + 4cos (5x)
Ans: (cos 5x  1  sqrt3)(cos 5x + 1  sqrt3)
By signing up, you agree to our Terms of Service and Privacy Policy
To simplify (2\cos(10x) + 4\cos(5x)), you can use trigonometric identities and properties.
First, apply the double angle identity for cosine: (\cos(2\theta) = 2\cos^2(\theta)  1).
Then, use the angle addition formula for cosine: (\cos(\alpha + \beta) = \cos(\alpha)\cos(\beta)  \sin(\alpha)\sin(\beta)).
Here's the stepbystep simplification:

Apply the double angle identity to (2\cos(10x)): [2\cos(10x) = 2\cos^2(5x)  1]

Now, simplify (4\cos(5x)): [4\cos(5x) = 4\cos(5x)]

Now, we'll use the angle addition formula to combine (2\cos^2(5x)) and (4\cos(5x)): [2\cos^2(5x)  1 + 4\cos(5x)]

Finally, combine like terms: [2\cos^2(5x) + 4\cos(5x)  1]
So, the simplified expression is (2\cos^2(5x) + 4\cos(5x)  1).
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided 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 onesided 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 onesided 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 onesided 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.
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7