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Aloiza [94]
2 years ago
5

Derivation of trigonometric identities (all 3).

Mathematics
1 answer:
skad [1K]2 years ago
6 0

Answer:

Sine, Cosine and Tangent.

Step-by-step explanation:

These are the 3 basic trigonometric identities.

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A square has diagonal length 9m. What is the side length of the square, to the nearest centimeter?
bazaltina [42]
636cm. 

This can be found with the Pythagorean Theorem which will give you a side length of 4.5\sqrt{2}meters, which rounds to roughly 636cm. 
8 0
3 years ago
When Famke charges her phone, it gains 222 percentage points each minute. When Famke uses her phone, it loses 555 percentage poi
Charra [1.4K]
To answer this you can use a guess and check strategy.

Start with 5 minutes using it (25% lost) and 10 minutes charging (20% gained).

Try 7 minutes using it (35% lost) and 14 minutes charging (28%).

Next, 9 minutes (45%) and 18 minutes(36%).

10 minutes (50%) and 20 minutes (40%). This is the difference.

She used it for 10 minutes and charged it for 20 minutes.
6 0
3 years ago
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In a parallel circuit, the supply voltage is 120 V, 60 Hz. The resistance is 30 Ω and the inductive reactance is 40 Ω. What is t
kvasek [131]

Given : supply voltage = 120V;60 Hz

Inductive Reactance (X_{L}) = 40 Ω

The inductive reactance is given by the formula, X_{L}=Lw, where L is inductance and w is given by formula, w = 2\pi(frequency)

Apply this, we can say that, L = \frac{X_{L}}{2\pi (frequency)}  = \frac{40}{2(3.14)(60)} = 0.106157 H = 106.157 mH

8 0
3 years ago
A stretched spring has a length of 12 inches when a weight of 2 lbs is attached to the spring. The same spring has a length of 1
Advocard [28]
The way I figured this one out was saying that if it takes 2lbs to stretch it to 12 inches and 5lbs to stretch to 18 inches that means that 3 additional pounds = 6 inches. Therefore, each additional pound is 2 inches. We know already that with 2 lbs it was 12 inches in length and we can also say that 2 lbs = 4 inches. So subtract 4 from 12 and you end up with the answer of 8 inches. 
8 0
3 years ago
What is the difference of the polynomials?
Vilka [71]

Answer:

8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6

Step-by-step explanation:

We want to simplify;


(8r^6s^3-9r^5s^4+3r^4s^5)-(2r^4s^5-5r^3s^6-4r^5s^4)


We expand the bracket to obtain;


8r^6s^3-9r^5s^4+3r^4s^5-2r^4s^5+5r^3s^6+4r^5s^4


We now group the like terms to obtain;


8r^6s^3-9r^5s^4+4r^5s^4+3r^4s^5-2r^4s^5+5r^3s^6


We now simplify to get;

8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6


The correct answer is C


3 0
3 years ago
Read 2 more answers
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