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dolphi86 [110]
3 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]3 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]3 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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Juliette [100K]

The equation in slope-intercept form represents a line that is parallel to y = 12x − 2 and passes through the point (−8,1) is y = 12x + 97

<em><u>Solution:</u></em>

Given that we have to write the equation in slope intercept form for line that is parallel to y = 12x − 2 and passes through the point (−8, 1)

<em><u>The slope intercept form is given as:</u></em>

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On comparing the above equation with eqn 1,

m = 12

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We know that slopes of parallel lines are equal

Therefore, slope of line parallel to given line is also 12

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We have to find the equation of line passing through (-8, 1) with slope m = 12

Substitute m = 12 and (x, y) = (-8, 1) in eqn 1

1 = 12(-8) + c

1 = -96 + c

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Substitute c = 97 and m = 12 in eqn 1

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Why?

7 is a bigger number than 3 which makes the answer a negative number.

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Step-by-step explanation:

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Step-by-step explanation:

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