#2) Use quotient rule

Remember for solving log equations:

#3) Derivative of tan = sec^2 = 1/cos^2
Domain of tan is [-pi/2, pi/2], only consider x values in that domain.
#4 Use Quotient rule
#9 Use double angle identity for tan

This way you can rewrite tan(pi/2) in terms of tan(pi/4).
Next use L'hopitals rule, which says the limit of indeterminate form(0/0) equals limit of quotient of derivatives of top/bottom of fraction.
Take derivative of both top part and bottom part separately, then reevaluate the limit. <span />
Rounding 5.6192 -
First you look at the hundredth place: If the number is 5 and higher round it up, if its 4 and lower round down. In this case 1 is in the hundredth place which means you round down. So 5.6192 rounded is 5.6
Answer: 5.6 or 5.60
Step-by-step explanation:
tangent is the ratio of opposite (o) to adjacent (a). it means when an angle is getting bigger, it will impact to the ratio of o/a and reaching infinite value at the angle 90°.
First, let's turn all the numbers into improper fractions so that we can find the answer easier.
-2
= r - 
-
= r - 
Now we have to isolate 'r'.
First, we have to make sure that the variable is on one side and all the numbers are on the other side.
To do this, we have to add
to both sides.
In order to do this, we need to ensure that both fractions have a common denominator.
-
= r - 
Ensure that the denominators are the same:
= r - 
+
= r
= r
Good luck!