In Exercises 19-36, solve each of the trigonometric equations exactly on 0 s 0 lt; 27.

TIAS

19. 2sin(20) = V3

20. 2cos

= -V2

21

3 tan(20) – V/3 = 0

No solu

from

23. 2cos(20) + 1 = 0

24. 4csc(20) + 8 = 0

25.

V/3 cot

NI

– 3 = 0

27. tan?0 – 1 = 0

28. sin?0 + 2sin0 + 1 = 0

29

2cos?0 = cos0

31. csc20 + 3csc0 + 2 = 0 32. cot20 = 1

The cosine

33.

in?0 + 2sin0 = 3

35. 4cos20 – 3 = 0

36. 4sin?0 = 3 + 4sin 0

Trigonometry

## Find two examples of parabolas in the real world or that model realworld phenomena Write a description for

Let f x x 2 4

The graph of f x x 2 4 as follows Let f x x 2 4 x 5 ax 2 bx c a The vertex h, k h b

4 2

2a

2 1 Plug h 2 in f 2 2 4 2 5 9

2 h, k 2, 9 The diagram of f x x 2 4 x 5 and h, k 2, 9 as…

Trigonometry

## Solve each of the trigonometric

In Exercises 1-18, solve each of the trigonometric equations exactly over the indicated intervals.

cos0 =

V2

0S0 lt; 2T

V2

lan2 of gnibrooos (alost

2

2. sin0 = –

2

,050 lt; 2T

V3

(@)nia, = (9)m

3. sin0 =

V3

2

,0$0 lt; 2m

4. cos0 =

2

,0 $ 0 lt; 2mo zobni ovil

5.

cos0 =

,0$0 lt;2m

IN

6. sin0 = –

,0 $ 0 lt; 2mowted olens In

7. csco = -2, 0 $ 0 lt; 47

orit of (islugibnogjing)

8. sec0 = -2, 0 = 0 lt; 4T

79ul2 Cpiphe \comi jusdee’ juc

Lami

9.

gt;tan 0 = 0, all real numbers

10. cot0 = 0, all real numbers

to xabni ovi

11. sin(20) = –

050 lt; 2m

12. cos(20) = V3

,050 lt; 2T

signs ovi

13.

sin

=

all real numbers

Urein calcalate

the solution

14. COS

= -1, all real numbers

15. tan(20) = V3, -27 $ 0 lt; 2T

Substimeibe

16. tan(20) = – V3, all real numbers

gas svilostlot orli otel

17.

sec0 = -2, -2T $0 lt;0

18. csco =

2V/3

step 2 Solve wash

4013860 90 0

3

bas niertol zoulev noida

Trigonometry

## What is tangent of the angle in standard position in which the terminal side passes through the point (3

Question

# What is:

tangent of the angle in standard position in which the terminal side passes through the point (3,

4)

cosine of the angle in standard position in which the terminal side passes through the point (-5, 12)

sine of the angle in standard position in which the terminal side passes through the point (-8, -15)???

Trigonometry

## Find the exact values of the remaining 5 circular functions (sine tangent cotangent secant and cosecant) for

Question

# Find the exact values of the remaining 5 circular functions (sine, tangent, cotangent, secant, and cosecant) for

angle θ, given that cosθ = 3/4 and θ is an angle in the 4 th quadrant. Find exact answers for this problem- no credit for approximations. Show work.

Trigonometry

## The height above the ground of a rider on a Ferris wheel can be modelled by the sine function h(x) = 25

Question

# The height above the ground of a rider on a Ferris wheel can be modelled by the sine function h(x) = 25

sin(x – 90°) + 27, where h(x) is the height, in metres, and x is the angle, in degrees, that the radius to the rider makes with the horizontal. Show on the table for one revolution of the Ferris wheel as follows:

Then predict and explain the values for a second revolution of the Ferris wheel.

Trigonometry

## Sketch the least positive angle and find the values of the six trigonometric functions3x+5y=0 x >

/=0

Question

# Sketch the least positive angle and find the values of the six trigonometric functions

3x+5y=0 , x /=0

8: Sketch the least positive angle and find the

Values\

of 6 trigonometric{

functions : –

Given

Equation*

of line is 3X + 54 – 0

As X 7 1 = 0 ,\

let’s assume X = 5 to avoid

fractional values`

for…

Trigonometry

## Using the Sine rule calculate the horizontal and

Question

Using the Sine rule calculate the horizontal and

vertical component forces. Then use any trigonometric calculation to find the resuant force ‘R’ and the angle at which it acts relative to the horizontal ‘r’

I find vectors impossible to understand, I don’t even know how to approach this problem. Is there any simple way of understanding this?

Trigonometry

## Need help with a trig exam see document attached

Thank you.

Question

# Need help with a trig exam, see document attached.

Thank you.

5.

1 x +0 y +2 z=−7→ x +2 z =−7

0 x+1 y +0 z=9 → y=9 z=t

x+ 2 z=−7 → x +2 t=−7 → x=−7−2t Solution: There are infinitely many solutions. The solutions are ( x , y , z )…

Trigonometry

## A mouse on a spring is moving with simple harmonic motion After a time tea the height age of the mouse above its

Question

# A mouse on a spring is moving with simple harmonic motion. After a time tea the height age of the mouse above its

rest position is given by the following formulaFind the height of the mass whenDo not round any intermediate compulsions round your answers to the nearest hundredth

h = aces£wt — e} . ET!quot; 211′

Gwen a = 5.4,: = —, t = 3,e = —

1? 1? Substitute above values in given equation, ‘h 54 (BHXE 2)

.. — .035 1? 1? ‘h 54 (h)

u — . CUE 1T h = 5.4 X…

Trigonometry

## See question below and the photo for my comments

Perform the

Question

# see question below and the photo for my comments.

Perform theSearch 6:13 AM Fri Jul 5

100%

;

D

D

of /

X Answer = – 2 tax Secx

5.2. 21 w/ help from the website .

S

7 7 sinx

1 – Sinx

I understand

1 , 1 – Sinx

I tsix

up to this point,

Itsnx

1 – Sinx

I – sinx

Itsinx /

but …

I don’t know what I am doing here

7 – Siny

– 1+ sinx

7 – Sin’x

I tenx – saf – sin x

Is this right ? I

1 – sinv – ( 1 + sin x ) – 1 – Sin x – 1 – sinx

1 – sin 2 x

7 – sin 2 x

Can you show step, by step in detail? I

am

Sure it is something small I am missing.!

Trigonometry

## Please show the step by step on how to solve it Thank you The Capital Wheel at the National Harbor is

Question

# Please show the step by step on how to solve it. Thank you.

- The Capital Wheel at the National Harbor is

a Ferris wheel with a diameter of 165 feet. If it were to spin at a rate of 2.1 revolutions per minute, what is the linear speed of a point on the outer edge of the wheel, in miles per hour?

Solve, finding ALL solutions. Express your answer exactly, using radians. Show work.

Trigonometry

## See attached questions and answers below from my grade 12 advanced functions text which includes trigonometry I

Question

# See attached questions and answers below from my grade 12 advanced functions text which includes trigonometry. I

understand the question and answer. For future problems, I know that it’s a good idea to break down given angles, i.e., cos (15) into the remarkable or known angles that are associated with a triangle and then apply the compound angle formulas.

Can someone please provide a list of the remarkable (or most often used in grade 12 Trig) angles please? Please give the angle values in degrees and radians. I searched google but too many hits came up!

If you can provide the name of the triangle the angles are from, that would be greatly appreciated too!

Trigonometry

## 1) Factor the expression then use fundamental identities to simplify

Question

**1) Factor the expression then use fundamental identities to simplify**

** **

**Cos^2xsec^2x-cos^2x**

**2) Perform the subtraction then use the fundamental identities to simplify **

a) 1/secx+1 – 1/secx-1

b) tanx- sec^2x/tanx

Really need help understanding how to do these problems?

Trigonometry