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ryzh [129]
3 years ago
11

Precalculus Homework help please.

Mathematics
1 answer:
aniked [119]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

(5)

Using the trigonometric identity

sin²x + cos²x = 1 ⇒ cos²x = 1 - sin²x

Given

3sin²Θ + 2cos²Θ - 2

= 3sin²Θ + 2(1 - sin²Θ) - 2

= 3sin²Θ + 2 - 2sin²Θ - 2

= sin²Θ

(6)

Using the trigonometric identity

secx = \frac{1}{cosx}

Consider the left side

\frac{cosx}{1-sin^2x}

= \frac{cosx}{cos^2x}

= \frac{1}{cosx} = secx = right side ⇒ verified

(7)

Using the trigonometric identity

1 + cot²x = csc²x

Given

sin²x. cot²x + sin²x ← factor out sin²x from each term

= sin²x(cot²x + 1)

= sin²x. csc²x

= sin²x × \frac{1}{sin^2x} = 1

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Step-by-step explanation:

See below for the tableau. The quotient is x^2 +x +1.

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7 0
4 years ago
A circular patio has a diameter of 4 yards. What is the area of the patio? Use 3.14 for π.
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50.24 square yards

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Complete the equivalent equation for –7x – 60 = x2 + 10x.
cupoosta [38]

Answer:

x = -5

x = -12

Step-by-step explanation:

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6 0
3 years ago
Mrs. McDonnell is making 25 paper cones to fill
viktelen [127]

Answer:

(A)29 cubic inch

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5 0
3 years ago
An investor bought an antique table for $6000. He paid 5% as a deposit and borrowed the remainder from a bank for two years at 1
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First lets get rid of the deposit.
(0.95*6000)=5700

Formula is I=PRT
I= Interest earned
P=Principal amount (5700)
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T=Time period (2 years)
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I= 5700*2*0.18
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2052/24            (12 months in a year and  T= 2 years)
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3 years ago
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