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3 years ago

Given tanx=8/15 when pi < x < 3pi/2, find tan x/2.

Mathematics

1 answer:

S_A_V [24]3 years ago

8 0

Answer:

$tan(x/2)=-4$

Step-by-step explanation:

we know that

The angle x belong to the III quadrant -----> given problem

step 1

Find the angle x

$x=arctan(8/15)=28.07\°$

Remember that the angle x belong to the III Quadrant

$x=28.07\°+180\°=208.07\°$

step 2

Find angle x/2

$x/2=208.07\°/2=104.035\°$

step 3

Find tan(x/2)

$tan(104.035\°)=-4$

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3 years ago

A quadratic equation of the form 0 = ax2 + bx + c has a discriminant value of –16. How many real number solutions does the equat

agasfer [191]

The equation has 0 real solutions.

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3 years ago

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Boxes of cereal normally cost £2.89 each, but a supermarket has a special offer: Boxes of Cereal 3 for the price of 2

Agata [3.3K]

Answer:

9 boxes

Step-by-step explanation:

Boxes of Cereal 3 for the price of 2, the the price of the 3 boxes of cereals must be : 2 × £2.89 = £5.78

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3 years ago

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3 years ago

Find the payment necessary to amortize a 6.3% loan of 7500 compounded semiannually, with 6 semiannual payments. Find the payment

Lorico [155]

Answer:

Semiannual payment = $ 1391.37

Total payment = $ 8348.22

Interest paid = $ 848.22

Step-by-step explanation:

Since, the semiannual payment formula of a loan,

$P=\frac{PV(\frac{r}{2})}{1-(1+\frac{r}{2})^{-n}}$

Where,

PV = present value of the loan,

n = number of semiannual payments,

r = annual rate,

Here, PV = 7500, r = 6.3% =0.063, n = 6,

By substituting the value,

The semiannual payment would be,

$P=\frac{7500(\frac{0.063}{2})}{1-(1+\frac{0.063}{2})^{-6}}$

$\approx \$ 1391.37$

Also, total payment = semiannual payment × total semiannual periods

= 1391.37 × 6

= $ 8348.22,

Also, the interest paid = total payment - present value

= 8348.22 - 7500

= $ 848.22

6 0

4 years ago