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fiasKO [112]
3 years ago
10

Evaluate the expression using an appropriate double angle formula.. cos^2(15) - sin^2(15)

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0
Cos²(15°) - sin²(15°) = cos(15° * 2) = √(3/2 so this is the answer by using apropriate formula  double angle identity
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Terms written in the form a/b are fractions. For example 2/3. If you see 3 1/2 it should be 3 and 1/2
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7/2??

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Write the equation of a line perpendicular to 5x – 4y = - 3 that passes through the point (-5,2).
kolezko [41]

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Step-by-step explanation:

Two lines are said to be perpendicular if the product of their gradients = -1.

If the gradient of the first line is m_{1} and the gradient of the second line is m_{2} , if the lines are perpendicular, them

m_{1} x m_{2} = -1 , that is

m_{1} = \frac{-1}{m_{2} }

The equation of the line given is 5x - 4y = -3 , we need to write this equation in slope - intercept form in order to find the slope.

The equation in slope -intercept form is given as :

y =mx + c , where m is the slope and c is the y - intercept.

Writing the equation in this form , we have

5x - 4y = + 3

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y = 5x/4 + 3/4

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Using the equation of line in slope - point form  to find the equation of the line;

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4 0
3 years ago
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