![sinx=cosx-1 \\ \\ sinx-cosx=-1](https://tex.z-dn.net/?f=sinx%3Dcosx-1%20%5C%5C%20%20%5C%5C%20%0Asinx-cosx%3D-1)
Using the identity:
![sinx-cosx=- \sqrt{2}cos( \frac{ \pi }{4}+x)](https://tex.z-dn.net/?f=sinx-cosx%3D-%20%5Csqrt%7B2%7Dcos%28%20%5Cfrac%7B%20%5Cpi%20%7D%7B4%7D%2Bx%29%20%20)
, we get:
![- \sqrt{2}cos( \frac{ \pi }{4}+x)=-1 \\ \\ cos( \frac{ \pi }{4}+x)= \frac{1}{ \sqrt{2} } \\ \\ ](https://tex.z-dn.net/?f=-%20%5Csqrt%7B2%7Dcos%28%20%5Cfrac%7B%20%5Cpi%20%7D%7B4%7D%2Bx%29%3D-1%20%5C%5C%20%20%5C%5C%20%0Acos%28%20%5Cfrac%7B%20%5Cpi%20%7D%7B4%7D%2Bx%29%3D%20%5Cfrac%7B1%7D%7B%20%5Csqrt%7B2%7D%20%7D%20%5C%5C%20%20%5C%5C%20%0A%20)
There are two solutions to this equation:
1) ![\frac{ \pi }{4}+x= \frac{ \pi }{4} \\ \\ x=0](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Cpi%20%7D%7B4%7D%2Bx%3D%20%5Cfrac%7B%20%5Cpi%20%7D%7B4%7D%20%5C%5C%20%20%5C%5C%20%0Ax%3D0%20%20)
Since the period of cosine is 2π, so 0 + 2π = 2π will also be a solution to the given equation
2)
Therefore, there are 3 solutions to the given trigonometric equation.
Answer:i wish i can help but good luck getting the answer :}
Step-by-step explanation:
Answer:
Jarron has 8.45 more miles to get to the finish line.
Step-by-step explanation:
All we have to do is subtract the total number of miles by the number of miles Jarron has completed.
So: 26.20 - 17.75 = 8.45
17 is the smaller number.
EXPLANATION:
The numbers are 24 and 17.
Difference of 7? Check.
Sum of 41? Check.
BOOM magic
Answer:
because you have to work, and i'm doing edinuity
Step-by-step explanation: