The simplified form of the given expression is 2tanx. Option C is correct.
<h2>Trigonometry identity</h2>
Given the following trigonometry identity:
![\frac{cosx}{1-sinx} -\frac{cosx}{1+sinx}](https://tex.z-dn.net/?f=%5Cfrac%7Bcosx%7D%7B1-sinx%7D%20-%5Cfrac%7Bcosx%7D%7B1%2Bsinx%7D%20)
<h3>Simplify the expression</h3>
Find the LCM of the expression to have:
![=\frac{cosx}{1-sinx} -\frac{cosx}{1+sinx} \\ =\frac{cosx(1+sinx)-(cosx(1-sinx)}{(1-sinx)(1+sinx)} \\ =\frac{cosx+cosxsinx-cosx+cosxsinx}{1-sin^2x}\\ =\frac{2cosxsins}{cos^2x } \\ =\frac{2cosxsinx}{cos^2x}\\ ](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bcosx%7D%7B1-sinx%7D%20-%5Cfrac%7Bcosx%7D%7B1%2Bsinx%7D%20%5C%5C%0A%3D%5Cfrac%7Bcosx%281%2Bsinx%29-%28cosx%281-sinx%29%7D%7B%281-sinx%29%281%2Bsinx%29%7D%20%5C%5C%0A%3D%5Cfrac%7Bcosx%2Bcosxsinx-cosx%2Bcosxsinx%7D%7B1-sin%5E2x%7D%5C%5C%0A%20%3D%5Cfrac%7B2cosxsins%7D%7Bcos%5E2x%20%7D%20%5C%5C%0A%3D%5Cfrac%7B2cosxsinx%7D%7Bcos%5E2x%7D%5C%5C%0A%20)
This can be simplified further to have:
![=\frac{2sinxcosx}{cos^2x}\\ =\frac{2sinx}{cosx}\\ =2tanx](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2sinxcosx%7D%7Bcos%5E2x%7D%5C%5C%0A%20%3D%5Cfrac%7B2sinx%7D%7Bcosx%7D%5C%5C%0A%20%3D2tanx)
Therefore the simplified form of the given expression is 2tanx.
Learn more on trigonometry function here: brainly.com/question/4515552
Answer:
27/111
Step-by-step explanation:
add up all the numbers to get 111
By addition theorem of probability,
P(AUB) = P(A) + P(B) -P(A∩B)
or
P(A or B) = P(A) +P(B) - P(A and B)
P(A or B) = 0.7 + 0.4 - 0.3 = 0.8
Therefore, the probability that randomly selected person likes pizza or burger is 0.8
Answer:
![\boxed{\ the \ corresponding\ point\ is \ (-6,7)\ }](https://tex.z-dn.net/?f=%5Cboxed%7B%5C%20the%20%5C%20corresponding%5C%20%20point%5C%20%20is%20%5C%20%28-6%2C7%29%5C%20%7D)
Step-by-step explanation:
We know that f(-2)=7
x+4 = -2 <=> x = -6
so f(-6+4) = f(-2)=7
then the corresponding point is (-6,7)
Answer:
Side length = 0.6m
Step-by-step explanation:
0.6 × 0.6 × 0.6 = 0.216