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
<em>Here</em> as the <em>Pentagon</em> is <em>regular</em> so it's <em>all sides</em> will be of <em>equal length</em> . And if we assume It's each side be<em> </em><em><u>s</u></em> , then it's perimeter is going to be <em>(s+s+s+s+s) = </em><em><u>5s</u></em>.And as here , each <em>side</em> is increased by <em>8 inches</em> and then it's perimeter is <em>65 inches</em> , so we got that it's side after increament is<em> (s+8) inches</em> and original length is <em>s inches </em>. And if it's each side is <em>(s+8) inches</em> , so it's perimeter will be <em>5(s+8)</em> and as it's equal to <em>65 inches</em> . So , <em><u>5(s+8) = 65</u></em>
As we assumed the original side to be <em><u>s</u></em> .
<em>Hence, the original side's length 5 inches </em>
<h2>
Answer:</h2>
<u>The value of </u><u>p :M/9m</u>
<h2>Explanation:</h2>
As we have been given value of M
Value of M=9pm
So we can find value of p from here by simple mathematics rule
M=9pm
divide both side with 9m so
M/9m=9pm/9m
we get value of p so M/9m=p.
we can write it as p=M/9m
Answer:
V = 9.828 * 10^7 mm^3
a= 9.828 b = 7
9,827,000 mm^3
Step-by-step explanation:
The volume of a rectangular prism is
V = l*w*h
V = 1.2 *10^3 * 3.9*10^2 * 2.1*10^2
We multiply the numbers out front and add the exponents (the powers of 10)
V = (1.2*3.9*2.1) * 10^(3+2+2)
V = 9.828 * 10^7 mm^3
Rewriting this in standard form means moving the decimal 7 places to the left. Since there is not enough places add zeros
9,827,000 mm^3
