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Firlakuza [10]
3 years ago
6

Recall that two angles are complements of each other if

Mathematics
1 answer:
lbvjy [14]3 years ago
4 0

Angle 1: 33, Angle 2: 147

Step-by-step explanation:

If I have angle x, and its supplement angle is 3 times its supplement increased by 48 degrees, then I know the following:

Angle 1 = x

Angle 2 = 3x+48

Both of these angles add to 180 degrees.

x+(3x+48)=180

= 4x+48=180

=4x=132

=x=33, Angle 1 = 33 degrees

So angle 1 is 33 degrees

that should mean that angle 2 is 147

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Answer:

Yes, they are equal in the values (in radians):

π/4, 5π/4

If cos(x) and sin(x) are defined to you as nonnegative functions (in terms of lengths), then 3π/4 and 7π/4 are also included

Step-by-step explanation:

Remember that odd multiples of 45° are special angles, with the same sine and cosine values (you can prove this, for example, by considering a right triangle with an angle of 45° and hypotenuse with length 1, and finding the trigonometric ratios).

The radian measure of 45° corresponds to π/4, hence the odd multiples on the interval [0, 2π) are π/4, 3π/4, 5π/4, 7π/4.

If you define sin(x) and cos(x) using the cartesian coordinate system (via unit circle), then cos(3π/4)=-sin(3π/4) and cos(7π/4)=-sin(7π/4). In this case, only π/4 and 5π/4 are valid choices.  

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Harlamova29_29 [7]

The circumference of the vase is 18.84 inches.

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The circumference of the cylinder is same as the circumference of its base.

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