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:
121
Step-by-step explanation:
Given data as per the question
Standard deviation = 
= 840
Margin of error = E = 150
Confidence level = c = 95%
For 95% confidence, z = 1.96
based on the above information, the minimum number of clients surveyed by the travel agent is
= 120.47
= 121
hence, the 121 number of clients to be surveyed
Therefore we applied the above formula to determine the minimum number of clients
2 3/4 + 1 3/8 = 4.125 and there is your answer
Answer:
E. Isosceles Triangle
Step-by-step explanation:
It is because it has 2 equal sides and 2 equal angles.
