How do you factor and simplify #3cot^2x+6cotx+3#?
inside the bracket we have a quadratic in cotx.
Replacing x by cotx to obtain.
By signing up, you agree to our Terms of Service and Privacy Policy
To factor and simplify the expression (3\cot^2 x + 6\cot x + 3), first factor out the common factor 3. Then, rewrite the expression using the identity (\cot^2 x = \csc^2 x - 1). After that, simplify the expression further by combining like terms and factoring.
[3\cot^2 x + 6\cot x + 3 = 3(\cot^2 x + 2\cot x + 1)] [= 3(\csc^2 x - 1 + 2\cot x + 1)] [= 3(\csc^2 x + 2\cot x)]
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 simplify #\sin ^{2}(\Theta )+\cos ^{2}(\Theta )#?
- How do you prove #[(cotx+1)/(cotx-1)]=[(1+tanx)/(1-tanx)]#?
- Use trigonometric identities to simplify the expression. ?
- How do you prove #Tan[x+(pi/4)]=(1+tanx)/(1-tanx)#?
- How do you solve #tan^2x-3=0# and find all solutions in the interval #0<=x<360#?
![Answer Background](/cdn/public/images/tutorgpt/ai-tutor/answer-ad-bg.png)
- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7