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Dima020 [189]
3 years ago
10

Show that point (pi/3,1/2) is on the curve of y=cosx

Mathematics
1 answer:
jarptica [38.1K]3 years ago
6 0
Here y=1/2 x=pi/3=60°

y=cosx
1/2=cos60° and cos60°=1/2
so LHS=RHS

so that point is on curve y=cosx
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How do you do this trig problem.
loris [4]

Consider a right triangle in which one of the angles \theta satisfies

\sin\theta=\dfrac35\implies\theta=\sin^{-1}\dfrac35

That is, the side opposite \theta occurs in a ratio of 3 to 5 with the hypotenuse. The side adjacent to \theta then occurs in a ratio of 4 to 5 with the hypotenuse. In other words,

\cos\theta=\dfrac45

because

\sin^2\theta+\cos^2\theta=\dfrac9{25}+\dfrac{16}{25}=1

Then in this triangle,

\cot\theta=\cot\left(\sin^{-1}\dfrac35\right)=\dfrac{\cos\theta}{\sin\theta}=\dfrac{\frac45}{\frac35}=\dfrac43

7 0
3 years ago
How do you do this haaaa
Ratling [72]

Answer:

7000

Step-by-step explanation:

7 0
3 years ago
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What’s the value of x for a-d?
patriot [66]

Answer:

a = 76 b = 22 c = 58 d = 68

Step-by-step explanation:

A. 180 - 133 = 47

so you have two angles found, which is 57 and 47. Add them together and subtract from 180. You get 76

B. 68 + 90 = 158

You subtract the 158 from 180 and get 22

C. This took some guess work, but when you multiply 58 by 2 you get 116. When subtracted from 180 you get 64. If you add 58 + 58 + 64, you get 180, so this made sense

D. There's an actual rule in trig that explains this, but I forgot it. If you look at the top angle, the other side of the line added to the 68 is a right angle. So you subtract 68 from 90 and get 12. Because there is already the right angle in the triangle, you just need the other two angles to equal 90, and because of the 68 that we found in the other triangle, this made sense.

Sorry, not the best at explanations. Hope that helped

8 0
3 years ago
What is 10^6 in standard form?
Colt1911 [192]
I hope this helps you




10^6=10.10.10.10.10.10=1000000



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3 0
3 years ago
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Chelsea shows her work in finding the solution to 4−5=2+3(−3) 4 x - 5 = 2 + 3 ( x - 3 ) . After checking her answer in the origi
egoroff_w [7]

Answer:

x = -2

Step-by-step explanation:

Equation is given as;

4 x - 5 = 2 + 3 ( x - 3 )

Step 1: Expand the brackets

4x - 5 = 2 + 3x - 9

Step 2: Collect like terms

4x - 3x = 2 - 9 - (-5)

Step 3: Simplify

x = 2 - 9 + 5

x = -2

4 0
3 years ago
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