Answer: The domain of G is 4
Step-by-step explanation:
The domain is the set of all inputs that makes the function definable. The domain is always represented on the x axis.So looking at g on its x axis you see 4. So the domain is 4.
<span> sin20 * sin40 * sin60 * sin80
since sin 60 = </span><span> √3/2
</span>√3/<span>2 (sin 20 * sin 40 * sin 80)
</span>√3/<span>2 (sin 20) [sin 40 * sin 80]
</span>
Using identity: <span>sin A sin B = (1/2) [ cos(A - B) - cos(A + B) ]
</span>√3/<span>2 (sin 20) (1 / 2) [cos 40 - cos 120]
</span>√3/4<span> (sin 20) [cos 40 + cos 60]
</span>
Since cos 60 = 1/2:
√3/4<span> (sin 20) [cos 40 + (1/2)]
</span>√3/4 (sin 20)(cos 40) + √3/8<span> (sin 20)
</span>
Using identity: <span> sin A cos B = 1/2 [ sin(A + B) + sin(A - B) ]
</span>√<span>3/4 (1 / 2) [sin 60 + sin (-20)] + </span>√3/8<span> (sin 20)
</span>
Since sin 60 = √3/<span>2
</span>√3/8 [√3/2 - sin 20] + √3/8 (sin 20)
3/16 - √3/8 sin 20 + √3/8<span> sin 20
</span>
Cancelling out the 2 terms:
3/16
Therefore, sin20 * sin40 * sin60 * <span>sin80 = 3/16</span>
Answer:
yes,the graph represents a function
Step-by-step explanation:
A function has only one output value for each input value.
Answer:
x=3/4 or x= -4
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Because it's Ax^4+Bx^3+Cx^2=0, factor out an x^2 from all of them and you get (x^2)(Ax^2+Bx+C)=0
Stand form is Ax^2+Bx+C=0, and the answer C is the only one that does that. Hope this helps
