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Sliva [168]
1 year ago
8

If sin25=p write the following term of p cos65tan205​

Mathematics
1 answer:
kakasveta [241]1 year ago
4 0

Answer:

cos65 = sin25 = p

tan205 = tan25 = p/√(1-√p)

Step-by-step explanation:

trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec)

some Trigonometric identities used in the question:

  • cos(90-θ) = sinθ
  • sin²θ + cos²θ = 1
  • tan(π±θ)  =  tanθ
  • tanθ = sinθ/cosθ

in the question it is given,

sin25 = p

using above mentioned identity:-

cos 65 = cos(90-25) = sin25 = p

hence value of cos65 is p.

for, tan205 we have to first find the cos25

so to find cos25 we use above mentioned identity,

cos²25 + sin²25 = 1

cos²25 + √p      = 1

cos²25               = 1-√p

cos25               = √(1-√p)  

now to find out tan205 use third identity mentioned above,

tan205 = tan(π+25) = tan25

tan25 = sin25/cos25

tan25 = p/√(1-√p)  

learn more about trigonometry at

brainly.com/question/26719838

#SPJ10

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3 years ago
The admission fee is $1.50 for children and $4.00 for adults. If 2700 people enter and $7800 is collected how many children and
Snowcat [4.5K]

Answer:

1200 children and 1500 Adults

Step-by-step explanation:

Suppose x be the children and y be the adults as total people are 2700 that have entered so we can write an equation as  

x+y=2700    (Equation 1)

and as per child $1.50 is the cost and $4 for every adult and collectively we have got $7800 so we can write the equation as  

1.50x+4y=7800 (Equation 2)

Extracting the value of y from equation 1

Y=2700-x (Equation 3)

Putting the value of y from equation 3 into equation 2

1.50x+4(2700-x)=7800

1.50x+10800-4x=7800

1.50x-4x=7800-10800

-2.5x=-3000

Cancellation of negative signs on both sides

x=3000/2.5

x=1200

Putting the value of x in equation 3 to get the value of y

y=2700-1200

y=1500

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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7 0
3 years ago
What is (1/4) / (6/7)<br> Please don’t just tell me the answer, please review the steps.
lbvjy [14]

Answer:

7/24 Is The Answer!

Step-by-step explanation:

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:

1/4 Divided by 6/7 = 1/4 ₓ 7/6

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

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Step-by-step explanation:

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