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eduard
3 years ago
5

*picture involved, refresh if not visible*

Mathematics
2 answers:
RideAnS [48]3 years ago
4 0

Answer:

1 =d

2=a

3=f

4=b

5=e

6=c

Step-by-step explanation:

We are given a right angled triangle ABC

AB =  c

BC =  a

AC =  b

Using Trigonometric ratio:

Sin\theta = \frac{Perpendicular}{Hypotenuse}

Sin\theta = \frac{BC}{AB}

For perpendicular BC base angle for sine is ∠A

So, Sin A = \frac{a}{c}

So, 1 = d

Using Trigonometric ratio:

Sin\theta = \frac{Perpendicular}{Hypotenuse}

Sin\theta = \frac{opposite}{Hypotenuse}   --1

Sin\theta = \frac{AC}{AB}

For perpendicular AC base angle for sine is ∠B

So, Sin B = \frac{b}{c}

So, 2 = a

Using 1

Sin\theta = \frac{opposite}{Hypotenuse}

So, 3 = f

Cos \theta = \frac{Base}{Hypotenuse}

Cos \theta = \frac{Adjacent}{Hypotenuse}

So, 4 = b

Using Trigonometric ratio:

Tan\theta = \frac{Perpendicular}{Base}

Tan\theta = \frac{BC}{AC}

For Base AC base angle for Tan is ∠A

So, tan A = \frac{a}{b}

So, 5 = e

Using Trigonometric ratio:

Tan\theta = \frac{Perpendicular}{Base}

Tan \theta = \frac{AC}{BC}

For Base BC base angle for Tan is ∠B

So, tan B = \frac{b}{a}

So, 6 = c

Crazy boy [7]3 years ago
3 0
1. (a/c)
= (opposite/hypotenuse A)
= sin A (d)

2. (b/c)
= (opposite/hypotenuse B)
= sin B (a)

3. (opposite/hypotenuse)
= sine (f)

4. (adjacent/hypotenuse)
= cosine (b)

5. (a/b)
= (opposite/adjacent A)
= tan A (e)

6. (b/a)
= (opposite/adjacent B)
= tan B (c)

hope it helps!
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4 0
3 years ago
Read 2 more answers
If f'(x) = 12x^3 - 2x^2 - 17 and f(1) = 8 , find f(x).
Cloud [144]

Answer:

f(x) =  3x⁴ - \frac{2X^{3} }{3} - 17x +  \frac{68}{3}

Step-by-step explanation:

To find f'(x), we will follow the steps below:

We will start by integrating both-side of the equation

∫f'(x) = ∫(12x^3 - 2x^2 - 17)dx

f(x)  = 3x⁴ - \frac{2X^{3} }{3} - 17x + C

Then we go ahead and find C

f(1) = 8

so we will replace x by 1 in the above equation and solve for c

f(1)  = 3(1)⁴ - \frac{2(1)^{3} }{3} - 17(1) + C

8 = 3 - \frac{2}{3} - 17 + C

C =8 - 3 + 17 + \frac{2}{3}

C = 22 +  \frac{2}{3}

C =\frac{66 + 2}{3}

C = \frac{68}{3}

f(x) =  3x⁴ - \frac{2X^{3} }{3} - 17x +  \frac{68}{3}

7 0
3 years ago
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