If sin x=2/9,x, in quadrant i, then find(without findingx): sin(2x), cos(2x), tan(2x)
1 answer:
We have that
<span>sin x=2/9
we know that
sin</span>² x+cos² x=1---------> cos² x=1-sin² x-----> cos² x=1-(2/9)²
cos² x=1-(4/81)------> (81-4)/81-----> 77/81
cos x=√(77/81)
Sin 2x = 2 sin x cos x-------> 2*(2/9)*(√(77/81))----> (4/81)*√77---> 0.43
Sin 2x=0.43
so
cos² 2x=1-sin² 2x---------> 1-[0.43]²-----> 1-[0.1878]----> 0.81
cos² 2x=0.81-----------> cos 2x=0.9
tan 2x=sin 2x/cos 2x--------> tan 2x=0.43/0.9---------> tan 2x=0.48
the answers are
sin 2x=0.43
cos 2x=0.9
tan 2x=0.48
You might be interested in
They are alike because you are just doubling the number by 2
Answer:
x=1 y=7
Step-by-step explanation:
−5x+2y=9
y=7x
Substitute the second equation into the first
-5x +2(7x) = 9
Distribute
-5x +14x = 9
Combine like terms
9x=9
Divide by 9
9x/9 =9/9
x= 1
Now find y
y = 7(1)
y = 7
Answer:
Step-by-step explanation:
1 batch= 1 and 1/3 cups
2 batches= 2 and 2/3 cups
3 batches= 4 cups
4 batches= 5 and 1/3 cups
Answer:
x² - 6x + 9
Step-by-step explanation:
(x - 3)² = x² - 6x + 9
the answer is 2 if you estimate to the tenths place