sprecalc7 6 3 002 2

Hey, I need help with this questions please, they are quite easy, but there are so many of them

.

–/1 points
SPreCalc7 6.3.002.

My Notes

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The sign of a trigonometric function of θ depends on the —Select—axisquadrant in/on which the terminal side of the angle lies.In Quadrant II, sin(θ) is —Select—positivenegative .
In Quadrant III, cos(θ) is —Select—positivenegative .
In Quadrant IV, tan(θ) is —Select—positivenegative .

2.

–/1 points
SPreCalc7 6.3.003.

My Notes

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(a) If θ is in standard position, then the reference angle θ
is the acute angle formed by the terminal side of
θ and the
—Select—x-axisy-axis . So the reference angle for

θ = 110°
is

θ = °,
and that for

θ = 190°
is

θ = °.

(b) If θ is any angle, the value of a trigonometric function of θ is the same, except possibly for sign, as the value of the trigonometric function of
θ.
So

sin(110°) = sin

°

, and

sin(190°) = −sin

°

.

3.

–/1 points
SPreCalc7 6.3.007.

My Notes

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Find the reference angle for the given angle.(a)265° °
(b)820°
°
(c) −95°

°

4.

–/1 points
SPreCalc7 6.3.011.

My Notes

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Find the reference angle for the given angle.(a)

3π

5

(b)
−0.8π

(c)
0.8

5.

–/1 points
SPreCalc7 6.3.015.

My Notes

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Find the exact value of the trigonometric function. (If an answer is undefined, enter UNDEFINED.)tan(150°)

6.

–/1 points
SPreCalc7 6.3.018.

My Notes

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Find the exact value of the trigonometric function. (If an answer is undefined, enter UNDEFINED.)csc(240°)

7.

–/1 points
SPreCalc7 6.3.025.

My Notes

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Find the exact value of the trigonometric function. (If an answer is undefined, enter UNDEFINED.)sin

3π

2

8.

–/1 points
SPreCalc7 6.3.029.

My Notes

Ask Your Teacher

Find the exact value of the trigonometric function. (If an answer is undefined, enter UNDEFINED.)csc

−

π

6

9.

–/1 points
SPreCalc7 6.3.034.

My Notes

Ask Your Teacher

Find the exact value of the trigonometric function. (If an answer is undefined, enter UNDEFINED.)cos

3π

4

10.

–/1 points
SPreCalc7 6.3.039.

My Notes

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Find the quadrant in which θ lies from the information given.sec(θ) < 0 and tan(θ) < 0 III IIIIV 11. –/1 points SPreCalc7 6.3.041. My Notes Ask Your Teacher Write the first trigonometric function in terms of the second for θ in the given quadrant.tan(θ), cos(θ); θ in Quadrant III tan( θ) = 12. –/1 points SPreCalc7 6.3.043. My Notes Ask Your Teacher Write the first trigonometric function in terms of the second for θ in the given quadrant.cos(θ), sin(θ); θ in Quadrant IV cos( θ) = 13. –/1 points SPreCalc7 6.3.049. My Notes Ask Your Teacher Find the values of the trigonometric functions of θ from the information given.cos(θ) = 4 19 , sin( θ) < 0 sin(θ) = tan(θ) = csc(θ) = sec(θ) = cot(θ) = 14. –/1 points SPreCalc7 6.3.051. My Notes Ask Your Teacher Find the values of the trigonometric functions of θ from the information given.csc(θ) = 4, θ in Quadrant I sin(θ) = cos(θ) = tan(θ) = sec(θ) = cot(θ) = 15. –/1 points SPreCalc7 6.3.056. My Notes Ask Your Teacher If θ = π/4, find the value of each expression. (Round your answers to three decimal places, if necessary.) sin2(θ) = sin(θ2) = 16. –/1 points SPreCalc7 6.3.058. My Notes Ask Your Teacher Find the area of a triangle with the given description. (Round your answer to one decimal place.)a triangle with sides of length 12 and 23 and included angle 20° 17. –/1 points SPreCalc7 6.3.059.MI. My Notes Ask Your Teacher Find the area of the triangle with the given description. (Round your answer to one decimal place.)an equilateral triangle with side of length 14 18. –/1 points SPreCalc7 6.3.063. My Notes Ask Your Teacher Find the area of the shaded region in the figure. (Round your answer to two decimal places.) 19. –/1 points SPreCalc7 6.3.067. My Notes Ask Your Teacher A graphing calculator is recommended. A rectangular beam is to be cut from a cylindrical log of diameter d = 22 cm. The figures show different ways this can be done. (a) Express the cross-sectional area of the beam as a function of the angle θ in the figures.A(θ) = (b) Graph the function you found in part (a). (c) Find the dimensions of the beam with largest cross-sectional area. (Round your answers to two decimal places.) width cm depth cm 20. –/1 points SPreCalc7 6.3.068. My Notes Ask Your Teacher The strength of a beam is proportional to the width and the square of the depth. A beam is cut from a cylindrical log of diameter d = 20 cm. The figures show different ways this can be done. Express the strength of the beam as a function of the angle θ in the figures. (Use k as your proportionality constant.)S(θ) =