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Gnesinka [82]
3 years ago
11

Cos(2x) + sin^2(x) = 0

Mathematics
1 answer:
zloy xaker [14]3 years ago
7 0

cos(2<em>θ</em>) + sin²(<em>θ</em>) = 0

Half-angle identity:

cos(2<em>θ</em>) + (1 - cos(2<em>θ</em>))/2 = 0

Simplify:

2 cos(2<em>θ</em>) + 1 - cos(2<em>θ</em>) = 0

cos(2<em>θ</em>) = -1

Solve for <em>θ</em> :

2<em>θ</em> = arccos(-1) + 2<em>nπ</em>

2<em>θ</em> = <em>π</em> + 2<em>nπ</em>

<em>θ</em> = <em>π</em>/2 + <em>nπ</em>

where <em>n</em> is any integer.

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Flauer [41]

The cotangent function is defined as the length of the side adjacent over the length of the side opposite.

Step-by-step explanation:

The sine of an angle is defined as the length of the side opposite over the length of the hypotenuse.

The cosine of an angle is defined as the length of the side adjacent over the length of the hypotenuse.

The tangent of an angle is defined as the length of the side opposite over the length of the side adjacent.

The cotangent function is defined as the length of the side adjacent over the length of the side opposite.

The secant of an angle is defined as the length of the hypotenuse over the length of the side adjacent.

The cosecant of an angle is defined as the length of the hypotenuse over the length of the side opposite.

4 0
3 years ago
Bob’s father has 4 children. Momo, Meme, and Mumu are three of them. Who’s the fourth?
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3 0
3 years ago
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What is the domain of the square root function graphed below?
max2010maxim [7]
I think the answer is 2
7 0
3 years ago
What is the surface area of the cylinder?
guajiro [1.7K]

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6 0
3 years ago
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If measure FG = 120° and measure EH = 94, what is measure angle EPH?
tankabanditka [31]

Answer:

∠EPH = 107°

Step-by-step explanation:

∠EPH is an angle formed by two intersecting chords.

arc FG and arc EH are the arcs ∠EPH intercepts.

The relationship between an angle formed by intersecting chords and their intercepted arcs is that the angle is equal to half the sum of its intercepted arcs.

Which means that ∠EPH = 1/2 ( arc FG + arc EH )

If arc FG = 120° and arc EH = 94°

Then ∠EPH = 1/2 ( 120 + 94 )

120 + 94 = 214

214 / 2 = 107

Hence, ∠EPH = 107°

5 0
3 years ago
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