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3 years ago

Using basic trigonometric identities simplify the

Mathematics

1 answer:

katrin2010 [14]3 years ago

6 0

Answer:

Step-by-step explanation:

Using the trigonometric identities

cot x = $\frac{cosx}{sinx}$ and tan x = $\frac{sinx}{cosx}$ thus

$\frac{cos0}{cot0}$ + tanΘ × cosΘ

= $\frac{cos0}{\frac{cos0}{sin0} }$ + $\frac{sin0}{cos0}$ × cosΘ

= cosΘ × $\frac{sin0}{cos0}$ + sinΘ

= sinΘ + sinΘ

= 2sinΘ → b

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Arnold bought 2 and 3/4 yards of string he needs to cut it into pieces 1/4 yard long how many pieces can you get

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2 years ago

Which of these number is an integer? A. −4.0 B. 1.50 C. -5/8 D. infinity

NNADVOKAT [17]

<span>−4.0 is an integer.

hope it helps</span>

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3 years ago

Part of your job as manager is to count the cash for the daily bank deposit. When you count the cash, you have 47 ones, 22 fives

cluponka [151]

Answer:

$592.92

Step-by-step explanation:

Bills:

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22 fives = 22*5 = $110

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1 year ago

A calculator is required to obtain the final answer on this question. A solid metal sphere at room temperature 20oC is dropped i

yKpoI14uk [10]

Answer:

T = 47.1875°C

Step-by-step explanation:

Given:

Surrounding temp, Ts = 100°C

Initial Temperature ,T0= 20°C

Increase in temperature = 15°C

Final temperature, T = 20 + 15 = 35°C

Time, t = 9 seconds

Let's take Newton's law of cooling:

$T - Ts = (T_0 - Ts)e^k^t$

We'll solve for k

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$k = \frac{1}{9} ln (\frac{13}{16})$

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Let's now find the temperature of the ball after 18 seconds in boiling water.

Use the Newton's equation again:

$T - Ts = (T_0 - Ts)e^k^t$

$T - 100 = (20 - 100)e^-0.0^2^3^0^7^1^0^4^0^5^3^*^1^8$

$T - 100 = (-80)e^-0.0^2^3^0^7^1^0^4^0^5^3^*^1^8$

$T - 100= -52.8125$

$T = 100 - 52.8125$

T = 47.1875°C

Temperature of the ball after 18 seconds in boiling water is 47.1875°C

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3 years ago

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