All categories

2 years ago

If θ is in Quadrant II and sin θ = √3/2 what is the cos θ?

Mathematics

1 answer:

andrezito [222]2 years ago

3 0

It should be - 3/2 I’m not 100% sure hope you get the question right

You might be interested in

Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (-3,5) and parallel to x + 4

Dmitry [639]

Answer:

$\boxed{\sf Standard-form :x + 4y -17=0 }\\$

$\boxed{\sf Slope-intercept\ form :y =\dfrac{-1}{4}x +\dfrac{17}{4}}$

Step-by-step explanation:

Here a equation of the line is given to us and we need to find out the equation of line which passes through the given point and parallel to the given line , the given equation is ,

$\longrightarrow x + 4y = 7\\$

Firstly convert it into slope intercept form of the line which is y = mx + x , as ;

$\longrightarrow 4y = -x + 7 \\$

$\longrightarrow y =\dfrac{-x}{4}+\dfrac{7}{4}\\$

On comparing it to y = mx + c , we have ,

$\longrightarrow m =\dfrac{-1}{4}\\$

$\longrightarrow c =\dfrac{7}{4}\\$

Now as we know that the slope of two parallel lines is same . Therefore the slope of the parallel line will be ,

$\longrightarrow m_{||)}=\dfrac{-1}{4}\\$

Now we may use point slope form of the line as ,

$\longrightarrow y - y_1 = m(x-x_1) \\$

On substituting the respective values ,

$\longrightarrow y - 5 =\dfrac{-1}{4}\{ x -(-3)\}\\$

$\longrightarrow y -5=\dfrac{-1}{4}(x+3)\\$

$\longrightarrow 4(y -5 ) =-1(x +3) \\$

$\longrightarrow 4y -20 = - x -3 \\$

$\longrightarrow x + 4y -20+3=0\\$

$\longrightarrow \underset{Standard \ Form }{\underbrace{\underline{\underline{ x + 4y -17=0}}}} \\$

Again the equation can be rewritten as ,

$\longrightarrow y - 5 = \dfrac{-1}{4}(x +3) \\$

$\longrightarrow y = \dfrac{-1}{4}x -\dfrac{3}{4}+5 \\$

$\longrightarrow y = \dfrac{-1}{4}x -\dfrac{20-3}{4} \\$

$\longrightarrow \underset{Slope-Intercept\ form }{\underbrace{\underline{\underline{ y =\dfrac{-1}{4}x +\dfrac{17}{4}}}}}\\$

6 0

1 year ago

Its easy pls help me

AysviL [449]

Answer:

start on point (0,2) and go up 3 over 1 and mark that point...continue with the pattern and draw the line connecting all the points

Step-by-step explanation:

when youre done it should look like this

7 0

2 years ago

37. A birthday gift is placed inside the box shown.

Elodia [21]

300 cm

Hope this helps!

5 0

2 years ago

What is 123.5 as a fraction?

Alex787 [66]

123 5/10 becuase everything on the left side of the dcimal is a whole number and everything on the right side is a fraction. The 5 is in the 10 place so the denominator would be 10 and the numerator would be 5. Your answer is 123 5/10 or simplified, 123 1/2

4 0

2 years ago

4 1/5 x 7 2/3 What is the answer please i need help

lidiya [134]

Answer: 32.2

Step-by-step explanation:

8 0

1 year ago

Read 2 more answers