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
73 is your answer do 73 time 3, 3*3=9 put the 9 down then 7*3=21 so the answer is 219 which is the number your dividing by. Always times your answer by the number smallest number and if it equals the biggest number in that problem that means your correct. So the answer is 73. Hope this helps.
Answer:
-50x + 600 = 250
Step-by-step explanation:
10x + 60(10-x) = 250
10x + 600 - 60x = 250
-50x + 600 = 250
Answer:
The lengths of the sides are 12cm, 28cm and 36cm.
Step-by-step explanation:
Let the smallest side be 4x, the middle side be 7x and the largest side be 9x.
Smallest side + middle side + largest side = 60cm
4x + 7x + 9x = 60
20x = 60
x = 60 ÷ 20
x = 3
Smallest side (4x) = 3 × 4
= 12
Middle side (7x) = 7 × 4
= 28
Largest side (9x) = 9 × 4
= 36
