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Gelneren [198K]
3 years ago
6

How to prove this using trig identities?

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
7 0

Step-by-step explanation:

tanB + cotB = (sinB)/(cosB) + (cosB)/(sinB)

 

                      = (sin2B + cos2B)/[(cosB)(sinB)]

 

                       = 1/[(cosB)(sinB)]

 

                        = (1/cosB)(1/sinB)

 

                        = (secB)(cscB)

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use the diagram to find the distance across the suspension bridge. Round your answer to the nearest foot
3241004551 [841]

Applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.

<h3>What is the Tangent Ratio?</h3>

Where we are given a right triangle, the tangent ratio is determined using the formula, tan ∅ = opposite side/adjacent side.

The diagram atatched beow whos the distance across the suspension bridge which consists of 6 identical right triangles.

Find the adjacent side of each right triangle using the tangent ratio:

∅ = 32

Opposite side = 52 ft

Adjacent side = x

Plug in the values into the tangent ratio:

tan 32 = 52/x

x = 52/tan 32

x = 83.2 ft.

Distance across the suspension bridge = 6(83.2) = 499.2 ft.

Therefore, applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.

Learn more about the tangent ratio on:

brainly.com/question/4326804

7 0
2 years ago
alaska has a land area of about 1,700,000 square kliometers. florida has a land area .1 the size of alaska. what is the land are
kherson [118]
Given:
land area of Alaska: 1,700,000 square kilometers
land area of Florida: 0.10 of Alaska

To find the land area of Florida, we multiply its decimal to the land area of Alaska

1,700,000 sq. km * 0.10 = 170,000 square kilometers.

The land area of Florida is 170,000 square kilometers. It is equal to 0.10 or 10% of the land area of Alaska.<span />
8 0
3 years ago
Read 2 more answers
Which terms and 45p^4q have a GCF of 9p^3?
vredina [299]

Answer:

The answer is 18p^3r and 63p^3

Step-by-step explanation:

G.C.F of 18p^3 r and  45p^4q is = 9p^3

18p^3r = 2*3*3*p*p*p*r

45p^4q = 3*3*5*p*p*p*q

Thus the G.C.F is 3*3*p*p*p = 9p^3

G.C.F of  63p^3 and  45p^4q is = 9p^3

63p^3 = 3*3*7*p*p*p

45p^4q = 3*3*5*p*p*p*q

Thus the G.C.F is 3*3*p*p*p = 9p^3

Therefore the answer is 18p^3r and 63p^3....

7 0
3 years ago
A company manufactures and sells x meras per month The monthly revnuee function is given by R(x)=200x-0.02x+1000 a) What is the
Anvisha [2.4K]
?????????????????????????????
4 0
3 years ago
Prove that the value of the expression: 731^2−631^2 is divisible by 100
Ivanshal [37]

Answer:

Step-by-step explanation:

731² - 631² is the difference of squares.

731² - 631² = (731+631)(731-631) = 1362×100

therefore, 731² - 631² is divisible by 100

7 0
2 years ago
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