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Reika [66]
2 years ago
6

The equation tan(x+ pi/3) is equal to

Mathematics
2 answers:
Strike441 [17]2 years ago
6 0

Answer:

Step-by-step explanation:

The answer is D. I just did it.

OlgaM077 [116]2 years ago
5 0

Answer:

Option D.

Step-by-step explanation:

We have to solve the trigonometric expression give below.

tan(x+\frac{\pi }{3})

=\frac{tanx+tan\frac{\pi }{3}}{1-tanx.tan\frac{\pi }{3}}

[Since tan(a+b)=\frac{tana+tanb}{1-tana.tanb}]

Now we place the value of tan\frac{\pi }{3}=\sqrt{3}

=\frac{tanx+\sqrt{3}}{1-tanx\sqrt{3}}

Therefore, option D. is the answer.

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Answer:

The difference in the amount of interest she would have to pay for the two loans is $1,400

Step-by-step explanation:

The amount of loan Holly is taking out, P = $10,000

The choices available for the loan are;

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Interest rate, R₁ = 4%

2) Loan duration, T₂ = 6-year

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For the first choice, we have;

The simple interest, I, given by the formula;

I_1 = \dfrac{P \times  R_1 \times T_1 }{100} = \dfrac{10,000 \times  4 \times 4 }{100} = \$ 1,600

For the second choice, we have;

The simple interest, I, given by the formula;

I_2 = \dfrac{P \times  R_2 \times T_2 }{100} = \dfrac{10,000 \times  5 \times 6 }{100} = \$ 3,000

The difference, D, in the amount of interest she would have to pay for the two loans is therefore;

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The difference in the amount of interest she would have to pay for the two loans = D = $1,400.

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