Supplementary angles:

Two angles with a sum of 180°.

Vertical angles:

Angles opposite each other where two line crosses.

Adjacent angles:

Two angles that have a common vertex and a common side but do not overlap.

Supplementary angles:

Two angles with a sum of 180°.

Vertical angles:

Angles opposite each other where two line crosses.

Adjacent angles:

Two angles that have a common vertex and a common side but do not overlap.

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The whole entire line (angles 1, 2, and 3 put together) is supplementary because supplementary angles form a line.

That conclusion only comes if you completely ignore the question in the top, left hand corner though. That question (the relationship between angle 1 and angle 3) would be answered by “complementary” because all 3 are 180° and subtract 90° for angle 2 and you’re left with 90°.

Basically, you just need to find out *what* exactly she’s asking for

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I’m sorry. I misunderstood the question.

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Ohh gotcha, tysm. You really helped!

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Of course, no problem!

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e = 2.718281828459045 (easy way to remember: 2.7 1828 1828 45 90 45)

using this, you can calculate hyperbolic functions

sinh(x) = e^x – e^(-x), all over 2

cosh(x) = e^x + e^(-x), all over 2

tanh(x) = e^(2x) – 1, all over e^(2x) + 1

and then there are inverse trigonometry and inverse hyperbolic functions…

sec(x) = 1/cos(x)

csc(x) = 1/sin(x)

cot(x) = 1/tan(x)

sech(x) = 1/cosh(x)

csch(x) = 1/sinh(x)

coth(x) = 1/tanh(x)

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e is a really neat constant. In my opinion, I don’t find hyperbolic functions so interesting, they’re just *a* solution to a differential equation. I think euler’s formula is a lot neater. Also, using e, you can derive derivatives to many of the standard functions.

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And inverse trig and hyperbolic functions aren’t 1/f(x), they’re f^-1(x) (confusing notation, I know), like arcsin and arccos.

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cool

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It is not that kind of inverse.

Google Search: " The secant of x is 1 divided by the cosine of x: sec(x)= 1 ÷ cos(x), and the cosecant of x is defined to be 1 divided by the sine of x: csc(x)= 1 ÷ sin(x)."

sine

cosine

tangent

hyperbolic sine

hyperbolic cosine

hyperbolic tangent

secant

cosecant

cotangent

hyperbolic secant

hyperbolic cosecant

hyperbolic cotangent

inverse sine

inverse cosine

inverse tangent

inverse hyperbolic sine

inverse hyperbolic cosine

inverse hyperbolic tangent

inverse secant

inverse cosecant

inverse cotangent

inverse hyperbolic secant

inverse hyperbolic cosecant

inverse hyperbolic cotangent

these are all of the functions regarding trigonometry

I guess the derivative of trig functions would’ve been better wording…

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I understand what you meant, but you gave examples of *reciprocal* trig functions, not inverse.

Hyperbolic and trigonometric functions are different.

I’m not sure what you meant here. The derivative of trig functions are other trig functions (slightly more complicated functions, sometimes, with trig functions in them).

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Would examples of that be smth like “derive 4sin((pi/3)x)?” also I’m guessing that would fall under simple derivatives?

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yeah, that’d be a simple trig derivative :))

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Yeah, the answer is just a trig function.

(Btw, derive doesn’t mean to find the derivative of something. It means something else. I think you meant “differentiate”).

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Oh yeah I do lol, thanks

And this falls in calc?

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Yeah derivatives are part of calculus. I’m not entirely sure why they were brought up in the first place, though

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When I guy comes with the knowledge of a fifth grader

“Math is math you add and multiply”

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