The answer is 0.0017. Do you not have a calculator?
The question is somewhat poorly posed because the equation doesn't involve <em>θ</em> at all. I assume the author meant to use <em>x</em>.
sec(<em>x</em>) = csc(<em>x</em>)
By definition of secant and cosecant,
1/cos(<em>x</em>) = 1/sin(<em>x</em>)
Multiply both sides by sin(<em>x</em>) :
sin(<em>x</em>)/cos(<em>x</em>) = sin(<em>x</em>)/sin(<em>x</em>)
As long as sin(<em>x</em>) ≠ 0, this reduces to
sin(<em>x</em>)/cos(<em>x</em>) = 1
By definition of tangent,
tan(<em>x</em>) = 1
Solve for <em>x</em> :
<em>x</em> = arctan(1) + <em>nπ</em>
<em>x</em> = <em>π</em>/4 + <em>nπ</em>
(where <em>n</em> is any integer)
In the interval 0 ≤ <em>x</em> ≤ 2<em>π</em>, you get 2 solutions when <em>n</em> = 0 and <em>n</em> = 1 of
<em>x</em> = <em>π</em>/4 <u>or</u> <em>x</em> = 5<em>π</em>/4
Answer: $11.45
Step-by-step explanation:
Food pill: $9
Tax: 6%
Tip: 20%
\\x=11.45](https://tex.z-dn.net/?f=x%3D%289%29%2B%289%29%280.06%29%2B%5B%289%29%2B%289%29%280.06%29%5D%280.20%29%5C%5Cx%3D11.45)
1. 1,2,3,6
2. 1,3,9
3. 1,2,5,10
4. 1,2,3,4,6,12
5. 1,3,7,21
6. 1,2,3,6,9,18
7. 8,16
8. 1,5,25
9. 1,31
10. 3x3
11. 5x5
12. 2x2x2
13. 14 is a composite number
14. 2x2x2
15. 3x5
16. 5 is a prime number
17. 20 is a composite number
18. 2x13
Answer:
Step-by-step explanation:
You've typed the equation incorrectly. 3^5x-1 = 3⁵x-1.
It needs to be typed as 3^(5x-1) = 7.