All categories

2 years ago

Csc2theta=csctheta/2costhetaCan you help verify the identity

Mathematics

1 answer:

Yakvenalex [24]2 years ago

7 0

csc(2x) = csc(x)/(2cos(x))

1/(sin(2x)) = csc(x)/(2cos(x))

1/(2*sin(x)*cos(x)) = csc(x)/(2cos(x))

(1/sin(x))*1/(2*cos(x)) = csc(x)/(2cos(x))

csc(x)*1/(2*cos(x)) = csc(x)/(2cos(x))

csc(x)/(2*cos(x)) = csc(x)/(2cos(x))

The identity is confirmed. Notice how I only altered the left hand side (LHS) keeping the right hand side (RHS) the same each time.

You might be interested in

The blue dot is at what value on the number line?

iren2701 [21]

Answer:

the blue dot is at -19 on the number line

Step-by-step explanation:

6 0

2 years ago

The length of a rectangle is four feet less than twice width. The area of the rectangle is 70 square feet. Find the dimensions o

san4es73 [151]

70=A=Lw

L=2w-4

70=(2w-4)w

70=2w²-4w

70=2(w²-2w)

35=w²-2w

0=w²-2w-35

0=(w+7)(w-5)

-7=w or w=5

Measurements aren't negative

w=5 ft

L=2(5)-4

L=6 ft

7 0

3 years ago

Simplify 5(x - 2) - 3x + 7.

WINSTONCH [101]

5(x - 2) - 3x + 7.

First use the distributive property:

5(x-2) = 5x-10

Now you have:

5x - 10 - 3x +7

Now combine like terms to get:

2x - 3

8 0

2 years ago

Read 2 more answers

Molly is using a map with a scale of 12 = 40 molly needs to travel from point x to point y how far does she need to travel

KATRIN_1 [288]

Answer:

See Explanation

Step-by-step explanation:

Given

$Ratio=12:40$

Required

Determine the actual distance between x and y

The question is incomplete, as the scale distance between x and y is not given.

To solve this, we make assumptions.

A scale measurement is represented as:

$Ratio = Scale : Actual$

So, we have:

$Scale : Actual = 12 : 40$

Express as fraction

$\frac{Actual}{Scale} = \frac{40}{12}$

Make Actual, the subject

$Actual = \frac{40}{12} * Scale$

Now, assume that the distance between x and y is 60 (on the scale), the actual distance traveled will be:

$Actual = \frac{40}{12} * 60$

$Actual = 200$

7 0

2 years ago

The length of a rectangle is three times it’s width. The area of the rectangle is 48 square centimeters. Find the measures of th

denis-greek [22]

---------------------------------------------------------------------------------
Define length and width
---------------------------------------------------------------------------------
Let the width be x
Width = x
Length = 3x

---------------------------------------------------------------------------------
Form equation and solve for x
---------------------------------------------------------------------------------
x(3x) = 48
3x² = 48
x² = 48 ÷ 3
x² = 16
x = √16
x = 4

---------------------------------------------------------------------------------
Find length and width
---------------------------------------------------------------------------------
Width = x = 4
Length = 3x = 3(4) = 12

---------------------------------------------------------------------------------
Answer: Width = 4cm, Length = 12cm
---------------------------------------------------------------------------------

7 0

3 years ago