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dezoksy [38]
2 years ago
8

Simplify cos(2x)/ cos(x)-sin(x)

Mathematics
1 answer:
viva [34]2 years ago
5 0

Answer:

cosA + sinA

Step-by-step explanation:

Using trig. identities :

cos(A + B) = cosAcosB - sinAsinB

cos2A = cos²A - sin²A

cos2A = (cosA + sinA)(cosA - sinA)

Therefore, your question is :

=> cos2A/(cosA - sinA)

=> (cosA + sinA)(cosA - sinA)/(cosA - sinA)

=> cosA + sinA

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On which interval is the average rate of change for bicycle production the greatest? A) 1950 to 1960 B) 1960 to 1970 C) 1970 to
Alborosie

Answer:

D) 1980 to 2000

Step-by-step explanation:

Finding the average rate of change in each interval to determine the greatest one.

Production per interval

1950-1960 = (21-11) \ million = 10 million

1960-1970 = (41-21)\ million = 20 million

1970-1980 = (71-41)\ million = 30 million

1980-2000 = (161-71)\ million= 90 million

Rate of change (1950-1960)= \frac{10}{11} \times 100= 90.90\%

Rate of change (1960-1970) = \frac{20}{21} \times 100= 95.23\%

Rate of change (1970-1980)=  \frac{30}{41} \times 100= 73.17\%

Rate of change (1980-2000)= \frac{90}{71} \times 100= 126.76\%

∴ rate of change between 1980 to 2000 is 126.78%

7 0
3 years ago
What is the solution of (x-9)^2/3=25 algebraicallt
AnnyKZ [126]

\bf \cfrac{(x-9)^2}{3}=25\implies (x-9)^2=75\implies \sqrt{(x-9)^2}=\sqrt{75}\implies x-9=\pm\sqrt{75} \\\\\\ x=\pm \sqrt{75}+9\implies x\approx \begin{cases} 17.66\\ -0.34 \end{cases}

7 0
3 years ago
What is the image of (0,6) after a reflection over the y-axis?
mihalych1998 [28]

Answer:

(0, 6)

Step-by-step explanation:

The point (0, 6) is on the y-axis, so after a reflection over the y-axis, it is still (0, 6).

5 0
1 year ago
you accidentally dropped a coin from the top of 10 stairs. what is the probability that it will land on the 4th step facing up
Roman55 [17]

Answer:

Step-by-step explanation:

1/10 * 1/4 = 1/14

1/2 because there is a 50/50% chance its either heads or tails

3 0
3 years ago
The number of bird species seen by seven birdwatchers is given.
mezya [45]
Hello!

The mode is the number that appears the most in the data set. In our data set, both 27 and 36 are seen twice, which is more than any other number in the set. Therefore our answer is A) 27 and 36.

I hope this helps!
6 0
2 years ago
Read 2 more answers
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