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o-na [289]
3 years ago
5

Given that cos (x) = 1/3, find sin (90 - x)

Mathematics
2 answers:
AysviL [449]3 years ago
7 0
A/c to trigonometric relations, sin(90 - x) = cos(x),
that means sin(90 - x) = cos(x) = 1/3.
ddd [48]3 years ago
3 0

Answer:

\sin(90^{\circ} - x)=\frac{1}{3}

Step-by-step explanation:

Given: \cos (x)=\frac{1}{3}

We have to find the value of \sin(90^{\circ} - x)

Since Given \cos (x)=\frac{1}{3}

Using trigonometric identity,

\sin(90^{\circ} - \theta)=\cos\theta

Thus, for  \sin(90^{\circ} - x) comparing , we have,

\theta=x

We get,

\sin(90^{\circ} - x)=\cos x=\frac{1}{3}

Thus, \sin(90^{\circ} - x)=\frac{1}{3}

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3 years ago
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The length of a rectangle is 4 cm less than it’s width. If the area of the rectangle is 165 cm^2. What are the dimensions of the
Monica [59]

Answer:

The dimensions are 11 cm by 15 cm

Step-by-step explanation:

Area of a rectangle = (length)(width).

Let L represent the length and W the width.

Since L = W - 4, we have

Area of rectangle = (W - 4)W = 165 cm^2.

Thus, w^2 - 4W - 165 = 0.  We can solve for W using the quadratic formula:

a = 1, b = -4 and c = -165.  Thus,

        -(-4) ± √ [ (-4)² - 4(1)(-165) ]

W = ---------------------------------------

                        2

         4 ± √ [16 + 660 ]

W = ------------------------------

                       2

         4 ± √ [ 676 ]                    4 ± 26

W = -----------------------  =   W = -------------  =  W  = 2 ± 13

                  2                                  2

Thus, W is 2 + 13 = 15.  It cannot be negative, so we discard 2 - 13 = -11.

If the width, W, is 15, then the length is 4 less, or L = 11.

The dimensions are 11 cm by 15 cm

6 0
3 years ago
Someone please help me
kap26 [50]

Answer:

The answer is x = 4

Step-by-step explanation:

1. First you need to distribute the 3/4 * (x + 8). This looks like (3/4) * (x) + (3/4) * (8) = 9

2. Next you simplify the distributed equation, 3/4x + 6 = 9

3. Now subtract 6 from both sides, 3/4x = 3

4. Multiply both sides by 4/3, 4/x * 3/4x = 3 * 4/3

5. Simplify, x = 4

8 0
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77julia77 [94]

Answer:

c

Step-by-step explanation:

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