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Phoenix [80]
3 years ago
12

Can someone help me simplifytan^2x + 6 tan x - 3

Mathematics
1 answer:
Triss [41]3 years ago
4 0

Substitution z = tan(x), then you can write:

z^2 + 6z - 3

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A grocery store normally sells lemonade for $3.50 per bottle grocery store is currently having a sale on lemonade which advise s
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Answer:

7.50 cheaper than buying individually

Step-by-step explanation:

13.50/6=2.25

3.50*6=21.00

21.00-13.50= 7.50

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3 years ago
dayo read 4/5th of a story book which has 500 pages. how many pages of the book is not yet read by dayo?
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1- 4/5=1/5; 1/5 •500=500/5=100
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3 years ago
Help please will mark brainliest!
Nat2105 [25]

Answer:

Option B. Cosec θ = –5/3

Option C. Cot θ = 4/3

Option D. Cos θ = –4/5

Step-by-step explanation:

From the question given above, the following data were obtained:

Tan θ = 3/4

θ is in 3rd quadrant

Recall

Tan θ = Opposite / Adjacent

Tan θ = 3/4 = Opposite / Adjacent

Thus,

Opposite = 3

Adjacent = 4

Next, we shall determine the Hypothenus. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus =?

Hypo² = Opp² + Adj²

Hypo² = 3² + 4²

Hypo² = 9 + 16

Hypo² = 25

Take the square root of both side

Hypo = √25

Hypothenus = 5

Recall:

In the 3rd quadant, only Tan is positive.

Therefore,

Hypothenus = –5

Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus = –5

Sine θ = Opposite / Hypothenus

Sine θ = 3/–5

Sine θ = –3/5

Cos θ = Adjacent / Hypothenus

Cos θ = 4/–5

Cos θ = –4/5

Cot θ = 1/ Tan θ

Tan θ = 3/4

Cot θ = 1 ÷ 3/4

Invert

Cot θ = 1 × 4/3

Cot θ = 4/3

Cosec θ = 1/ Sine θ

Sine θ = –3/5

Cosec θ = 1 ÷ –3/5

Invert

Cosec θ = 1 × –5/3

Cosec θ = –5/3

SUMMARY

Sine θ = –3/5

Cos θ = –4/5

Tan θ = 3/4

Cot θ = 4/3

Cosec θ = –5/3

Therefore, option B, C and D gives the correct answer to the question.

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3 years ago
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WHAT IS PERCENT DO THE PERCENT CHANT! SPREAD THIS

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What is the answer to the equation 63.14 x 2.08
Readme [11.4K]

131.3312, and if rounded 131

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3 years ago
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