The required solution to the trigonometry equation is x = π/4 + π n.
The equation of trigonometry functions is given in the question as
secx - cscx = 0
We have to determine the solution to the given equation
As per the question, we have
⇒ secx - cscx = 0
⇒ 1/cosx - 1/sinx = 0
⇒ (-cosx + sinx)/cosxsinx = 0
Using property : f(x)/g(x) = 0 ⇒ f(x) = 0
⇒ -cosx + sinx = 0
Divided by cosx into the equation,
⇒ -1 + tanx = 0
⇒ tanx = 1
The general solution for tan tanx = 1 is
⇒ x = π/4 + π n
Learn more about Trigonometric functions here:
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Discounted price = 24
discount rate = 20%
When an object is sold at a discount.
You can simply multiply the original price by the discount rate to get the value of the discount.
Original Price * Discount Rate = Value of the discount
Then, you subtract the value of the discount from the Original price to get the discount price
Original Price - Value of the discount = discounted price
Remember: The discount price can also be arrived at by multiplying the Original price with the difference of 100% and the discount rate, in its decimal form.
Original price * (100%-discount rate)/100 = Discount Price
Using the latest formula, we can compute for the original price by dividing the discount price by the difference of 100% and the discount rate, in its decimal form.
Original Price = Discount Price / (100%-discount rate)/100
Original Price = 24 / (100%-20%)/100
= 24 / 0.80
Original Price = 30
Discount Value = 30 * 20%/100%
= 30 * 0.20
Discount Value = 6
Discount Price = 30 - 6
Discount Price = 24
we know the circumference shown for that picture is π miles, what would it be for the diameter? namely how long is the diameter of that circle whose circumference is π miles?
![\bf \textit{circumference of a circle}\\\\ C=\pi d~~ \begin{cases} d=diameter\\ \cline{1-1} C=\pi \end{cases}\implies \pi =\pi d\implies \cfrac{~~\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}=d\implies 1=d](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bcircumference%20of%20a%20circle%7D%5C%5C%5C%5C%20C%3D%5Cpi%20d~~%20%5Cbegin%7Bcases%7D%20d%3Ddiameter%5C%5C%20%5Ccline%7B1-1%7D%20C%3D%5Cpi%20%5Cend%7Bcases%7D%5Cimplies%20%5Cpi%20%3D%5Cpi%20d%5Cimplies%20%5Ccfrac%7B~~%5Cbegin%7Bmatrix%7D%20%5Cpi%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7B~~%5Cbegin%7Bmatrix%7D%20%5Cpi%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%3Dd%5Cimplies%201%3Dd)
Answer:
6
Step-by-step explanation:
First, multiply both sides by 3.
Next, combine like terms.
Solve for x.
Answer:
Step-by-step explanation:
