1) Those are polar coordinates

2) The expression inside cosine is the angle of the vector to be drawn

3) r is the length of the vector to be drawn.

For example:

- if you take angle =0 and r results to be =2, it means that you have to put a point over the x-axis at a distance of two units from the origin.

4) You have to look for notable values, like points on the axis and notable angles (0, 45°, 90°, 180 °,...)

5) Use derivation to find maximum and minimum values.

6) The graph of this function looks like the infinite symbol: ∞

7) Some notable points are: (0,0) ; (0,2) ; (0, - 2)

See attached the complete graph as a reference.

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6 0

3 years ago

Determine an exact value for sin _<br> 3π/4-tan 5π/6

iris [78.8K]

Answer:

$\frac{3\sqrt{2}+2\sqrt{3}}{6}$ or $\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}$

Step-by-step explanation:

$\sin\frac{3\pi}{4}-\tan\frac{5\pi}{6}\\\\\sin\frac{3\pi}{4}-\frac{\sin\frac{5\pi}{6}}{\cos\frac{5\pi}{6}}\\ \\\frac{\sqrt{2}}{2}-\frac{\frac{1}{2} }{-\frac{\sqrt{3}}{2}}\\ \\\frac{\sqrt{2}}{2}+\frac{1}{\sqrt{3}}\\ \\\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}\\ \\\frac{3\sqrt{2}}{6}+\frac{2\sqrt{3}}{6}\\ \\\frac{3\sqrt{2}+2\sqrt{3}}{6}$

6 0

3 years ago

Use what you know about the properties to rewite each number sentence. Use mental math to find the sum. 0.6 + (0.4 + 0.9) = n an

dusya [7]

First Equation:

0.6 +(0.4+0.9) =n

Step 1: do parentheses first:

0.4+0.9 = 1.3

Step 2: Add 0.6 + 1.3

0.6 + 1.3 = 1.9

n= 1.9

Second Equation:

(1.57 + 0.75) + 0.25 + n

Step 1: do parentheses first:

1.57 + 0.75 = 2.50

Step 2: Add 2.50 + 0.25 = 2.75

Step 3: Add 2.75 and n = 2.75+n

Final Answer:

1.9 +2.75+n = 4.65 +n

Hope this helps!!

8 0

3 years ago