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2 years ago

(1-sec x)/(1-cos x) = -sec x

Mathematics

1 answer:

ra1l [238]2 years ago

7 0

We are given the trigonometric equation:

(1 - sec x) / (1 - cos x) = - sec x

Since the left side has more terms, then let us work on that side to make it exactly like the right side.

We know that sec = 1 / cos, therefore:

(1 – 1 / cos x) / (1 – cos x) = - sec x

[(cos x – 1) / cos x] / (1 – cos x) = - sec x

[- (1 – cos x) / cos x] / (1 – cos x) = - sec x

Cancelling out the term (1 – cos x):

- 1 / cos x = - sec x

- sec x = - sec x

PROVEN!

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Ravi buys lunch at a restaurant.

ipn [44]

The price of Ravi's lunch, before tax and tip was added to the total cost of the meal is $13.19.

<h3>What is the price of the lunch?</h3>

Both the tax and the tip paid would increase the cost of the meal. Thus, their dollar value has to be subtracted from the total amount he pays.

Value of the lunch after the tip has been removed = (1 - 0.2) x 17.92 = $14.34

Value of the lunch after the tax has been removed = (1 - 0.08) x $14.34 = $13.19

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2 years ago

How much does a glass cube with a side of 5-cm weigh if 1cm3 of glass weighs 2 2/5 grams?

PtichkaEL [24]

The weight of galss cube with side 5 cm is 300 grams

Solution:

A glass cube is of side length 5 cm

Let us first find the volume of glass cube

The volume of cube is given as:

$volume = (side)^3\\\\volume =5^3 = 125$

Thus volume of cube is 125 $cm^3$

Given that,

$1 cm^3 = 2\frac{2}{5} \text{ grams }\\\\1 cm^3 =\frac{12}{5} \text{ grams}$

So, weight of 125 cubic centimeter of glass cube is found by multiplying weight of 1 cubic centimeter of glass cube by 125

$\text{ Weight of 125 } cm^3 \text{ cube } = \text{ Weight of 1 } cm^3 \text{ cube } \times 125$

$\text{ Weight of 125 } cm^3 \text{ cube } = \frac{12}{5} \times 125 = 25 \times 12 = 300$

Thus weight of galss cube with side 5 cm is 300 grams

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3 years ago

Read 2 more answers

The perimeters of two squares are in the ratio 2 : 4. The perimeter of

Bess [88]

Answer:

Step-by-step explanation:

2 : 4

8 : 16

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2 years ago

Manuel até 1/3 crackers. His brother ate 1/4 crackers. There are 5 crackers left. How many crackers were there from he beginning

mrs_skeptik [129]

50 crackers hope this helps

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2 years ago

Best explained and correct answer gets brainliest.

topjm [15]

U = (-2,3)

V = (3,0)

midpoint of UV

= ( (3-2)/2 , (3+0)/2 )

= ( 1/2 , 3/2)

= ( 0.5 , 1.5)

X = (0.5 , 1.5) [from fig]

midpoint of UV = X

W= (-2,-3)

V =( 3.0)

Y = ( (-2+3)/2 , (-3+0)/2 )

= (0.5 , - 1.5)

Y = ( 0.5 , -1.5) [ from fig ]

Y is the midpoint of WV

by midpoint theorem ,

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2 years ago