Hey, I need help with the following questions please, they are quite easy but i’m running low on time

1.

–/1 points

SPreCalc7 6.2.001.

My Notes

Ask Your Teacher

A right triangle with an angle θ is shown in the figure.

(a) Label the “opposite” and “adjacent” sides of θ and the hypotenuse of the triangle.
a:oppositeadjacent hypotenuse

b:

oppositeadjacent hypotenuse

c:

oppositeadjacent hypotenuse

(b) The trigonometric functions of the angle θ are defined as follows.

sin(θ) =

—Select— opposite adjacent hypotenuse

—Select— opposite adjacent hypotenuse

cos(θ) =

—Select— opposite adjacent hypotenuse

—Select— opposite adjacent hypotenuse

tan(θ) =

—Select— opposite adjacent hypotenuse

—Select— opposite adjacent hypotenuse

(c) The trigonometric ratios do not depend on the size of the triangle. This is because all right triangles with the same acute angle θ are —Select— supplementary obtuse similar distinct complimentary .

2.

–/1 points

SPreCalc7 6.2.002.

My Notes

Ask Your Teacher

The reciprocal identities state thatcsc(θ) =

1

—Select— sin(θ) cos(θ) tan(θ)

sec(θ) =

1

—Select— sin(θ) cos(θ) tan(θ)

cot(θ) =

1

—Select— sin(θ) cos(θ) tan(θ)

.

3.

–/1 points

SPreCalc7 6.2.006.

My Notes

Ask Your Teacher

Find the exact values of the six trigonometric ratios of the angle θ in the triangle.

sin(θ) =
cos(θ) =
tan(θ) =
csc(θ) =
sec(θ) =
cot(θ) =

4.

–/1 points

SPreCalc7 6.2.008.

My Notes

Ask Your Teacher

Find the exact values of the six trigonometric ratios of the angle θ in the triangle.

sin(θ)	=
cos(θ)	=
tan(θ)	=
csc(θ)	=
sec(θ)	=
cot(θ)	=

5.

–/1 points

SPreCalc7 6.2.009.

My Notes

Ask Your Teacher

Find sin(α) and cos(β), tan(α) and cot(β), and sec(α) and csc(β).

(a)sin(α) and cos(β)

(b)tan(α) and cot(β)

(c)sec(α) and csc(β)

6.

–/1 points

SPreCalc7 6.2.013.

My Notes

Ask Your Teacher

Use a calculator to evaluate the expression. Round your answer to five decimal places.(a)sec(17°)

(b)

tan(54°)

7.

–/1 points

SPreCalc7 6.2.017.

My Notes

Ask Your Teacher

Find the side labeled x.
x =

	7

8.

–/1 points

SPreCalc7 6.2.020.

My Notes

Ask Your Teacher

Find the side labeled x. State your answer rounded to 5 decimal places.
x =

	57°		21

9.

–/1 points

SPreCalc7 6.2.022.

My Notes

Ask Your Teacher

Express x and y in terms of trigonometric ratios of θ. (Express your answer in terms of θ only.)

x	=
y	=

10.

–/1 points

SPreCalc7 6.2.024.MI.

My Notes

Ask Your Teacher

Sketch a triangle that has acute angle θ.cos(θ) =

4

5

Find the other five trigonometric ratios of θ.

sin(θ)	=
tan(θ)	=
csc(θ)	=
sec(θ)	=
cot(θ)	=

11.

–/1 points

SPreCalc7 6.2.025.

My Notes

Ask Your Teacher

Sketch a triangle that has acute angle θ.cot(θ) = 2

Find the other five trigonometric ratios of θ.

sin(θ)	=
cos(θ)	=
tan(θ)	=
csc(θ)	=
sec(θ)	=

12.

–/1 points

SPreCalc7 6.2.026.

My Notes

Ask Your Teacher

Sketch a triangle that has acute angle θ.tan(θ) =

3

Find the other five trigonometric ratios of θ.

sin(θ)	=
cos(θ)	=
csc(θ)	=
sec(θ)	=
cot(θ)	=

13.

–/1 points

SPreCalc7 6.2.029.

My Notes

Ask Your Teacher

Evaluate the expression without using a calculator.sin

Ï€

6

+ cos

Ï€

6

14.

–/1 points

SPreCalc7 6.2.032.

My Notes

Ask Your Teacher

Evaluate the expression without using a calculator.(sin 60°)² + (cos 60°)²

15.

–/1 points

SPreCalc7 6.2.038.MI.

My Notes

Ask Your Teacher

Solve the right triangle.

	140

Find the length of the side adjacent to the given angle. (Round your answer to two decimal places.)

Find the length of the hypotenuse. (Round your answer to two decimal places.)

Find the other acute angle.

°

16.

–/1 points

SPreCalc7 6.2.041.

My Notes

Ask Your Teacher

Solve the right triangle.

	42.5

Find the length of the side opposite to the given angle. (Round your answer to two decimal places.)

Find the length of the side adjacent to the given angle. (Round your answer to two decimal places.)

Find the other acute angle.

rad

17.

–/1 points

SPreCalc7 6.2.047.

My Notes

Ask Your Teacher

Find x rounded to one decimal place.
x =

	130

18.

–/1 points

SPreCalc7 6.2.053.

My Notes

Ask Your Teacher

The angle of elevation to the top of a very tall Building is found to be 8° from the ground at a distance of 1 mi from the base of the building. Using this information, find the height of the building. (Round your answer to the nearest foot.)
ft

<img