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torisob [31]
2 years ago
7

The first two steps in the derivation of the quadratic formula by completing the square are shown below.

Mathematics
1 answer:
lidiya [134]2 years ago
3 0

Answer:C

Step-by-step explanation:

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A refillable muy costa $12. Each timé you fill the coffee mug up it costs $2.20. If penelope bought the mug, how many refills ca
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Given sinx+1/sinx=1+cscx, find a numerical value of one trigonometric function of x.
Nana76 [90]

Answer:

x = π/2 or

x = π/2 + 2πn (for any value of n)

Step-by-step explanation:

We need to find the numerical value of the trigonometric function sinx+1/sinx=1+cscx

Subtract 1+cscx on both sides

sinx + 1/sinx -(1+csc x) = 1+cscx - (1+cscx)

sinx + 1/sinx -1 -csc x = 0

Taking LCM i.e, sinx and solving

(sinx)(sinx) + 1 - sinx -cscx(sinx) / sinx = 0

Multiplying sinx on both sides

sin^2 x + 1 -sinx - cscx(sinx) =0

as we know, cscx = 1/ sinx

sin^2 x + 1 -sinx - (1/sinx)(sinx) = 0

Solving,

sin^2 x + 1 -sinx - 1 = 0

sin^2 x - sin x =0

Let u = sinx

Putting it in above equation

u^2 - u =0

Solving the equation:

u= 1 , u= 0

Putting back the value of u

sin(x) = 1 and sin(x) = 0

x = sin ⁻¹ (1) and x = sin ⁻¹ (1) =0

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So, x = π/2 or

x = π/2 + 2πn (for any value of n)

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3 years ago
Suzanne buys a new helmet for 29.95 and a water bottle for 8.49 tax is included in the prices . She pays with two 20 dollar bill
kykrilka [37]
29.95+8.49=38.44. 2x20=40
40.00
- 38.44. ————————-
————
1.56. ======$1.56
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3 years ago
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