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lbvjy [14]
3 years ago
13

If sin theta = - squrt.3/2 and pi < theta < 3pi/2, what are the values of cos theta and tan theta?

Mathematics
2 answers:
attashe74 [19]3 years ago
8 0

Answer with explanation:

Let, A=Theta

→Used the identity

Sin²A+Cos²A=1

→Sine and cosine are negative in third Quadrant.

\sin A= \frac{-\sqrt{3}}{2}\\\\\pi < A

Kryger [21]3 years ago
7 0
So this first wants you to find where sin is √3/2 when θ is between π and 3π/2. θ would therefore be located at 2π/3.

Now plug in the value of θ for cosine:

cos (2π/3) = -1/2

And tangent:

tan (2π/3) = -√3/3
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Answer:2

Step-by-step explanation:

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15/2 = 7.5

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What is the value of x 2/3-1=11.
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3 years ago
The length of a rectangular field is 7 m less than 4 times the width. The perimeter is 136 m. Find the width and the length
Helga [31]

Answer:

Step-by-step explanation:

Represent the width by W.  Then, "The length of a rectangular field is 7 m less than 4 times the width" expressed symbolically is

L = 4W - 7 (dimensions in meters)

Recall that the perimeter formula in this case is P = 2L + 2W, and recognize that the perimeter value is 136 m.  After substituting 4W - 7 for L, we get:

136 m = 2(4W - 7) + 2W, or

136 = 8W - 14 + 2W, or

150 = 10W        These three equations are equivalent mathematical statements.

150 = 10W reduces to W = 15 (meters).

Part A:  the independent variable is W, the width of the field.

Part B:  The mathematical statement is 136 m = 2(4W - 7) + 2W, which after algebraic manipulation becomes 150 = 10W.

Part C:  The above equation can be solved for W:  W = 15 meters.  This is the value of the independent variable.

6 0
3 years ago
What’s the area of this triangle?
tankabanditka [31]

Answer:

26.75

Step-by-step explanation:

There are two ways to do this. You can use the base*height/2 formula for the area of the triangle, or use the complex formula of determining triangle area without height.

The first is A=(b*h)/2

In this case you need to find the height using a²+b²=c²

Take your base (7.6) and divide it by 2 this will give you the bottom side of your triangle (3.8) now plug this, and the side value of 8 into the formula. Remember c is the hypotenuse (diagonal side) and x is the height.

3.8²+x²=8²

14.44+x²=64

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x=7.039 -now you have the height for the triangle and can use this to find the area

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so it's 3.8*7.039=26.75

(If you need more help look up Silicon Valley High school's video titled, "How to find the area of a triangle (without the height)"

It will teach you the formula A=\sqrt{s(s-a)(s-b)(s-c)} which teaches you to find the area of any triangle when all you are given is three sides

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