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DaniilM [7]
3 years ago
13

Simplify by referring to the appropriate triangle or trigonometric identity. (Use symbolic notation and fractions where needed.)

cot[sin−1(12)]=cot⁡[sin−1⁡(12)]= help (fractions)
Mathematics
1 answer:
antiseptic1488 [7]3 years ago
8 0

Answer:

The correct question is:

Simplify by referring to the appropriate triangle or trigonometric identity. (Use symbolic notation and fractions where needed.) cot[sin−1(1/2)]

Answer:

cot(sin^(-1)1/2) = 1/√3

Step-by-step explanation:

To simplify cot(sin^(-1)1/2)

Let a = sin^(-1)1/2

Then sin(a) = 1/2

and

cot(sin^(-1)1/2) = cot(a)

Since

sin(a) = 1/2

a = π/6

cot(a) = 1/tan(a) = sin(a)/cos(a)

But cos(a) = cos(π/6) = (√3)/2

So

cot(π/6) = sin(π/6)/cos(π/6)

= (1/2)/((√3)/2)

= (1×2)/((√3)×2)

= 2/2√3

= 1/√3

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GEOMETRY/INTRO TO TRIG QUESTION!<br><br> Please show your work and explain.
postnew [5]

Answer:

The answer to your question is AB = 6.9

Step-by-step explanation:

Data

∠A = 70°

∠C = 62°

BC = 7.3

AB = x

Process

1.- To solve this problem use the law of sines

                 AB / sin C = BC / sin A

Substitution

                 AB / sin 62 =  7.3 /  sin 70

Solve for AB

                AB = 7.3(sin 62) / sin 70

                AB = 7.3(0.883) / 0.940

                AB = 7.3 (0.939)

Result

                 AB = 6.8                

                     

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A number is multiplied by 3. if 2 is added to the product you get 17. what is the number
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How do I rewrite a quadratic into graphing form
Juli2301 [7.4K]

Step-by-step explanation:

Standard form of a quadratic is f(x) = ax² + bx + c.

To convert to vertex form, the simplest method is to find the x-coordinate of the vertex using h = -b/(2a).

Then, plug back into the equation to find the y-coordinate of the vertex.  k = f(h).

Finally, the leading coefficient is the same as the standard form, a.

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