To solve the trigonometric expression we proceed as follows;
7(tan x)^3-21tanx=0
this can be written as:
7(tan x)^3=21tanx
dividing through by 7 we get:
(tan x)^3=tan x
dividing through by tan x we get:
(tanx)^1=1
hence;
tan x=+\-1
when tan x=1
x=45
when tan x=-1
x=-45
Given that our answer should be at the interval [0,2π] the answer:
45=45/180=1/4π
Answer:
<h3><u>Firs</u><u>t</u><u> </u><u>q</u><u>uestion</u></h3>
To find ? we use sine
sin ∅ = opposite / hypotenuse
From the question
The hypotenuse is 50
The opposite is 25
So we have
sin ? = 25 / 50
sin ? = 1/2
? = sin-¹ 1/2
<h2>? = 30°</h2>
<h3><u>Sec</u><u>ond</u><u> </u><u>q</u><u>uestion</u></h3>
To find ? we use tan
tan ∅ = opposite / adjacent
From the question
the opposite is 8
the adjacent is 33
So we have
tan ? = 8/33
? = tan-¹ 8/33
? = 13.62
<h3>? = 14° to the nearest degree</h3>
Hope this helps you
Answer:
46,656
Step-by-step explanation:
6^2x3=
6^6=
6x6x6x6x6x6=
46,656
Hope that helps!
