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Harlamova29_29 [7]
1 year ago
12

Write the expression as one involving only sin x and cos x. sin 2x + cos x

Mathematics
1 answer:
AfilCa [17]1 year ago
6 0

Answer:

sin 2x + cos x =  2 sin x cos x + cos x = (2 sin x + 1)cos x

Step-by-step explanation:

Given the expression: sin 2x + cos x,

then we can use the formula: sin 2x = 2 sin x cos x, which gives:

sin 2x + cos x =  2 sin x cos x + cos x = (2 sin x + 1)cos x

So there you have two expressions in terms of sin x and cos x, as requested. :D

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The product of 2 consecutive odd integers is 1 less than 4 times their sum. A quadratic function models this situation. What is
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Find the balance in an account with $7,000 principal earning 5% interest compounded quarterly
nadya68 [22]

Answer:

The balance is \$11,505.34  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=10\ years\\ P=\$7,000\\ r=0.05\\n=4  

substitute in the formula above  

A=\$7,000(1+\frac{0.05}{4})^{4*10}=\$11,505.34  

3 0
3 years ago
Karla's jewelry box is shaped like a rectangular prism. The bottom surface of the box has an area of 65 square inches. The heigh
koban [17]

Answer:

780  cubic inches

Step-by-step explanation:

Step one:

Given data

The bottom surface of the box has an area of 65 square inches.

Already given an area and a height of 12 in

we proceed to find the volume by multiplying Area and height

Required

The volume of the box

Volume= Area* height

Step two:

Volume= 65*12

Volume = 780  cubic inches

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2 years ago
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