3 years ago

19. Find the value of:4/3tan^2 30° + Sin^2 60° – 3Cos^2 30°+ 3tan^2. 60° - 2tan^2 45°

Mathematics

1 answer:

Julli [10]3 years ago

7 0

9514 1404 393

Answer:

107/18

Step-by-step explanation:

Your calculator and/or knowledge of trig function values can help you evaluate this.

= 4/3(1/3) +3/4 -3(3/4) +3(3) -2(1)

= 4/9 +3/4 -9/4 +9 -2

= 107/18

___

tan(30°) = 1/√3

tan(45°) = 1

tan(60°) = √3

sin(60°) = cos(30°) = √3/2

You might be interested in

Find the length of AB

Lady_Fox [76]

Hey there! :)

Answer:

arc AB = 2.5π in (in terms of pi) or ≈7.85 in. (pi = 3.14)

Step-by-step explanation:

Begin by finding the circumference of the circle. Use the formula:

C = 2rπ

C = 2(9)π

C = 18π.

Since ∠AQB equals 50°, set up a ratio to find the length of arc AB:

$\frac{50}{360} = \frac{x}{18\pi }$

Cross multiply:

50 · 18π = 360x

900π = 360x

Divide both sides by 360:

x = 2.5π in, or ≈7.85 in.

5 0

3 years ago

Last weekend, 5% of the tickets sold at seaworld were discount tickets. If seaworld sold 60 tickets in all, how many dicount tic

Liula [17]

I think you have to divide 60 and 5%

5 0

3 years ago

9⋅(3+5)+8÷2

Slav-nsk [51]

Answer:

Step-by-step explanation:

8 0

2 years ago

Find the arc length of the partial circle with 1/4 missing and a radius of 5.

Citrus2011 [14]

Answer:

ill answer in a bit

Step-by-step explanation:

7 0

3 years ago

Find the Point where the two lines intersect each other. What are the coordinates of this point?

kompoz [17]

Answer:

B. and D.

Step-by-step explanation:

4 0

3 years ago

19. Find the value of:4/3tan^2 30° + Sin^2 60° – 3Cos^2 30°+ 3tan^2. 60° - 2tan^2 45°​

19. Find the value of:4/3tan^2 30° + Sin^2 60° – 3Cos^2 30°+ 3tan^2. 60° - 2tan^2 45°