All categories

4 years ago

The exact value of cos 13pi/8 is

Mathematics

2 answers:

Naily [24]4 years ago

6 0

Answer:

answer is : Cos(13pi/8) = 0.3826

Step-by-step explanation:

We have, Cos (13pi/8)

Since 13pi/8 can be shown as 3pi/2 < 13pi/8 < 2pi

Hence 13pi/8 lies on fourth quadrant.

In fourth quadrant cosine will be positive.

Cos (13pi/8) = cos(3pi/2 + pi/8)

applying formula cos(A+B) = cos A cosB - sinAsinB

i.e Cos(3pi/2 + pi/8) = cos(3pi/2)cos(pi/8) - sin(3pi/2)sin(pi/8)

∵ Remember cos(3pi/2) =0 , sin(3pi/2) = -1

Cos(3pi/2 + pi/8) = 0 cos(pi/8) - (-1)sin(pi/8)

Cos(3pi/2 + pi/8) = 0 + 0.3826

Cos(3pi/2 + pi/8) = 0.3826

Hence we got Cos(13pi/8) = 0.3826

kondor19780726 [428]4 years ago

6 0

Answer:

sqt root 2-sqt root 2/4

Step-by-step explanation:

You might be interested in

The local newspaper has letters to the editor from 50 people. If this number represents 2% of all of the newspaper's readers,

Vera_Pavlovna [14]

Answer: The newspaper has 2500 readers.

Step-by-step explanation:

Given: The local newspaper has letters to the editor from 50 people.

This is the 2% of all newspaper readers.

Let x be the number of all newspaper readers.

Then. 2% of x= 50

$\Rightarrow\ 0.02x=50\ \ [\text{To remove }\% \text{we divide number by 100}]\\\\\Rightarrow\ x=\dfrac{50}{0.02}=\dfrac{5000}{2}=2500\\\\\Rightarrow x=2500$

Hence, the newspaper has 2500 readers.

4 0

3 years ago

The following linear equation represents the line of best fit for the following scatter plot

Burka [1]

Answer:

C) 28.5 home runs

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

y = home runs

x = hits

[Best Line of Fit] y = 0.15x - 1.5

We can use this to predict the average of the scatter plot.

hits = x = 200 times

Step 2: Solve for y home runs

Substitute [BLF]: y = 0.15(200) - 1.5
Multiply: y = 30 - 1.5
Subtract: y = 28.5

Remember that this is only a prediction. Actual data can vary. The best line of fit tells us that if a player hits 200 times, we would get approximately 28.5 home runs.

7 0

3 years ago

Read 2 more answers

Y = f(x-5)+3 looking for a graph

djverab [1.8K]

Answer is the graph
(2,0) (0, -2)

Y intercept is -2