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:
3/40 :D
Step-by-step explanation:
Answer:
x intercept at (7/3 , 0)
y intercept at (0,-3)
Step-by-step explanation:
9x-7y=21
we need to find x and y intercepts
To find x intercept , plug in 0 for y
9x - 7(0) = 21
9x = 21
divide by 9 on both sides
x= 21/ 9 = 7/3
so x intercept at (7/3 , 0)
To find y intercept , plug in 0 for x
9(0) - 7(y) = 21
-7y = 21
divide by -7 on both sides
y= -3
so y intercept at (0,-3)
Answer:
Step-by-step explanation:
Let
c-------> the number of cookies in each batch
we know that
To find the total number of cookies, multiply the number of batches by the number of cookies in each batch
so
------> equation that represent the total number of cookies
If Anna ate 
cookies
then
The expression to know how many cookies Anna has left is equal to
Answer:
19 - 2 = x The X will be 17
I have x candy, but my friend only have 2 candy which is less than me, but our total is 19 candy. How many candy do I have?
You could make similar story if you want to. But the X is 17.
