sin(x) + cos(x) = sin(x) + sqrt(1 – sin^2(x)) Well the first term is already sin(x), so we just need to express cos(x) in terms of sin(x). You know the identity sin^2(x) + cos^2(x) = 1, right? Well solving this for cos(x) and substituting it into the original expression gives sin(x) + ±√[1 – sin^2(x)], …

# Category «Mathematics»

## What is the derivative of sin^4(x)?

Derivative Of Sin 4 X This Site Might Help You. RE: What is the derivative of sin^4(x)? Then I need the solution f'(2) 4 sin^3(x) cos(x). You need to use the chain rule for this where f(x)= (sin(x))^4 then f'(x)=4(sin(x))^3(cos(x)) =4(sin(x))(cos(x)) then plug in x=2 For the best answers, search on this site https://shorturl.im/avqEY y …

## Factor completely: 2×2 + 9x + 4?

its the (2x+1)(x+4) one. this is because if you multiply out the brackets you get 2x times x to get 2×2 then 1 times 4 which is 4 then 2x times 4 which is 8x then 1 times x which is 1x. Add them all together you get 2×2 + 9x + 4 Factoring decomposition …

## PLEASE HELP!! A bag contains 8 red marbles, 4 white marbles, and 5 blue marbles. You draw one marble at random. Find P(red and blue).?

If I draw 1 marble at random I can't calculate the probability for red and blue. B~ 0 A single marble can not be both red and blue, so the probability is zero. Answer B Since they are solid color marbles, you cannot get both red and blue from one marble. Hence, P(R + B) …

## How do you solve these?

1. 12^(2x)=1000 2x = (log1000/log2) x = [(log1000/log2)] / 2 2. Take each side of the equation to the 3/2 power so the x becomes x^1. Your answer is then 50^(3/2) 3. Multiply both sides by 9. fifth root of x = 63 fifth root of x is the same as x^(1/5). So take bothsides …

## Why does arctan(x) limit as x approaches infinity equal pi/2 ?

Are you familiar with the unit circle? tan(x) represents the ratio of sin(x) / cos(x). When cos(x) gets really small, that fraction gets very large. pi/2 represents a 90 degree angle on the unit circle. At this point, sin(pi/2) = 1 (the y-coordinate) and cos(pi/2) = 0 (the x-coordinate). Dividing by 0 is related to …

## What is 1/15 in decimal form?

.06666666666666666666666………….. 1 divided by 15 = .0666666667 0.066continue 6 will not type 3 sixes because its the devils number 1/15 means 1 divided by 15. The solution would be 0,0666666666666666….. Remember that fractions are really division problems, so 1/15 is the same as 1÷15. So, as division shows, the decimal form is 0.0 followed by …

## Square root of 1/4?

√(1/4) = 1/2 Alejandra √(1/4) = 1/2 (taking + ve square root) Man, when will you Americans go Metric?? Square of 0.25 = 0.5 See how it works? 0.5 squared is 5 times 5 This equals 25, drop the decimal places and 0.25 Assuming you know how to do square roots, you can turn this …

## Formula for converting feet per second to mile per hour?

There are 5280 feet in a mile and 3600 seconds in an hour so the conversion factor would be 3600/5280 or .681818. Hi: try this : x ft / sec *3600 / 5280 = miles per hour or x ft/ sec * 0.6818181818… = miles per hr this will do the trick hopes this helps …

## How you determine whether a sequence is arithmetic or geometric?

If the difference between any two consecutive terms is a constant, then it is arithmetic. For example: 1, 4, 7, 10, … If the ratio between any two consecutive terms is a constant, then it is geometric. For example: 1, 2, 4, 8, … Examples: 2, 4, 6, 8, 10, … would be arithmetic since …