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dolphi86 [110]
2 years ago
10

Write the expression as the sine, cosine, or tangent of an angle. (6 points) cos 94° cos 37° + sin 94° sin 37°

Mathematics
2 answers:
klasskru [66]2 years ago
4 0

Answer:

cos57 = 0.5446

sin57 = 0.8387

tan57 = 1.5399

Step-by-step explanation:

Given

cos 94\° cos 37\° + sin 94\° sin 37\°

Required

Determine the

<em>- sin</em>

<em>- cosine</em>

<em>- tangent</em>

of an angle

The given expression can be represented as follows;

cosAcosB + sinAsinB

Where A = 94 and B = 37

In trigonometry:

cosAcosB + sinAsinB = cos(A - B)

Substitute 94 for A and 37 for B

cos(A - B) = cos(94 - 37)

cos(A - B) = cos(57)

Hence, the angle is 57;

<em>Since 57 is not a special angle; I'll solve using a calculator</em>

cos57 = 0.5446

sin57 = 0.8387

tan57 = 1.5399

Verdich [7]2 years ago
4 0

Answer:

Step-by-step explanation:

Given

Required

Determine the

- sin

- cosine

- tangent

of an angle

The given expression can be represented as follows;

Where A = 94 and B = 37

In trigonometry:

Substitute 94 for A and 37 for B

Hence, the angle is 57;

Since 57 is not a special angle; I'll solve using a calculator

Step-by-step explanation:

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How much money should be deposited today in an account that earns 6% compounded monthly so that it will accumulate to $1000000 (
aleksandr82 [10.1K]

Answer:

The principal investment required to get  a total amount of $ 1,000,000.00  from compound interest at a rate of 6% per year  compounded 12 times per year  over 45 years  is $ 67,659.17.

Step-by-step explanation:

Given

  • Accrued Amount A = $1000000
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To determine:

  • Principle amount P = ?

Using the formula

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

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