All categories

3 years ago

Cot 10° . cot 20°. cot 70°. cot 80°. cot 45° = 1

Mathematics

1 answer:

jonny [76]3 years ago

8 0

Answer:

steps below

Step-by-step explanation:

cot 10° * cot 20° * cot 70° * cot 80° * cot 45°

= (cos 10°/sin 10°)*(cos 20°/sin 20°)*(cos 70°/sin 70°)*(cos 80°/sin 80°)* (1)

= (cos 10°*cos 80°)(cos 20°*cos 70°) / (sin 10°*sin 80°)(sin 20°*sin 70°)

= (1/2*(cos60°+cos90°)*1/2(cos50°+cos90°))/(1/2*(cos60°-cos90°)*1/2(cos50°-cos90°)) ... cos90° = 0 cos60° = 1/2

= (1/8*cos50°) / (1/8*cos50°)

= 1

You might be interested in

alexa and rosa read books that have the same number of pages.alexa book is divided into 8 equal chapters. rosa book is divided i

Molodets [167]

Alexa read 3/8 and rosa read 3/6

8 0

3 years ago

Read 2 more answers

A club is choosing 2 members to serve on a committee. The club has nominated 3 women and 3 men. Based on chance alone, what is t

maw [93]

Answer: 0.6

Step-by-step explanation:

Given

There are 3 women and 3 men available to form a 2 member committee.

No of ways, a man can be chosen are $3$

Similarly, no of ways a woman can be chosen are 3

Therefore, probability of choosing 2 members i.e. 1 man and 1 women is

$\Rightarrow P=\dfrac{3}{6}\times \dfrac{3}{5}$

If the order matter, then

$\Rightarrow P=2\times \dfrac{3\times 3}{6\times 5}\\\\\Rightarrow P=0.6$

5 0

3 years ago

H²=p²+b² make b the subject of formula

zubka84 [21]

Answer:

done same as before put value and do process like simplify

6 0

3 years ago

Read 2 more answers

Rachel bought 12 rolls of packing tape and paid a total of $33.60.

Agata [3.3K]

Rachel paid $33.60 for 12 rolls.

Unit rate paid by Rachel = $\frac{33.60}{12}$

= 2.8

From table,

Kevin paid $6.40 for 2 rolls.

Unit rate paid by Kevin = $\frac{6.40}{2}$

= 3.20.

Check:

Kevin bought 5 rolls for $16

5 × 3.2 = 16

He also bought 8 rolls for $25.6.

8 × 3.2 = 25.6.

If we compare the unit rates paid by Rachel and Kevin,

Rachel's unit rate is <u>less</u> than Kevin's because <u>3.2</u> is greater than <u>2.8</u>.

4 0

3 years ago

Read 2 more answers

Suppose an initial investment of $100 will return $50/year for 3 years (assume the $50 is received each year at the end of the y

nydimaria [60]

With a positive NPV, it shows that the investment is profitable.

It is a profitable investment with a positive NPV at a discount rate of 20%.

Data and Calculations

Initial investment = $100

Annual cash inflows = $50

Period of investment = 3 years

Discount rate = 20%

<h3>What is the present value?</h3>

Present value (PV) is the current value of a future sum of money or stream of cash flows given a specified rate of return.

Present Value (PV) annuity factor for 3 years at 20% = 2.106

Present value of annual cash inflows = $105.3 ($50 x 2.106)

Net Present Value (NPV) = $5.3 ($105.3 - $100)

Thus, with a positive NPV, it shows that the investment is profitable.

To learn more about the investment visit:

brainly.com/question/12957049

#SPJ1

4 0

2 years ago

Cot 10° . cot 20°. cot 70°. cot 80°. cot 45° = 1​

Cot 10° . cot 20°. cot 70°. cot 80°. cot 45° = 1