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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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Answer:

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3 years ago
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Answer: When you have two mutually exclusive events, to find the probability of one or another, you add the probabilities.

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Step-by-step explanation:

7 0
2 years ago
PLEASE HELP WILL GIVE BRAINLIEST!!!!!1
Murrr4er [49]

Hey there!

<em>C = 0.25x + 40</em>

(a) For this part we solve for C when x = 240. Substitute 240 in for x.

C = 0.25(240) + 40

Multiply 240 by 0.25.

C = 60 + 40

Add.

C = 100

The cost is $100.

<u>Check</u>

100 = 0.25(240) + 40

100 = 60 + 40

100 = 100

(b) For this part we solve for x when C = 180. Substitute 180 for C.

180 = 0.25x + 40

Subtract 40 from each side.

140 = 0.25x

Divide each side by 0.25.

560 = x

This person drove 560 miles.

<u>Check</u>

180 = 0.25(560) + 40

180 = 140 + 40

180 = 180

(c) For this we must make an inequality with C = 150.

Since they want the cost to be <em>no more than</em> 150, we will use the ≥ symbol.

C ≥ 0.25x + 40

Substitute 150 for C. Solve for x.

150 ≥ 0.25x + 40

Subtract 40 from each side.

110 ≥ 0.25x

Divide each side by 0.25.

440 ≥ x

The max number of miles they can drive is 440.

<u>Check</u>

150 ≥ 0.25(440) + 40

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Hope this helps!

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Step-by-step explanation:

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Step-by-step explanation:

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