Trigonometric Functions

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Mathematics

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Unit 7 Project Solve △ABC using the given measurements. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. 1. a = 7, A = 49° 2. A = 22°, c = 8 3. a = 7, c = 16 Rewrite each degree measure in radians and each radian measure in degrees. 4. 275° 5. − 7π 4 Find the exact value of each expression. Write angle measures in degrees. 6. cos(­120°) 7. sec(­ 7π 6 ) 8. Sin­1(­ √23 ) 9. Arctan ­1 10. Suppose Θ is in standard position whose terminal side lies in Quadrant II. find the exact values of the remaining five trigonometric functions for Θ for cos Θ = ­ √23 . State the vertical shift, amplitude, period, and phase shift of each function. Then graph the function. 11. y = 34 sin θ + 3 12. y = 3 cos [2(θ + 60°)] − 1
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1. 𝑎 = 7, 𝐴 = 490
𝑏 = 6.1, 𝐵 = 410
𝑐 = 9.3, 𝐶 = 900
2. 𝑎 = 3.00, 𝐴 = 220
𝑏 = 7.4, 𝐵 = 680
𝑐 = 8, 𝐶 = 900
3. 𝑎 = 7, 𝐴 = 25.90
𝑏 = 14.4, 𝐵 = 64.1
𝑐 = 16, 𝐶 = 900
4. 𝟐𝟕𝟓𝟎 = 𝟒. 𝟖 𝒓𝒂𝒅𝒊𝒂𝒏𝒔
𝟕

5. − 𝟒 𝝅 𝒓𝒂𝒅𝒊𝒂𝒏𝒔 = −𝟑𝟏𝟓𝟎

−3150 = (−315 + 360) = 450

6. cos(−1200 ) = −0.5
7. sec (−

7𝜋

1

) = sec(2100 ) = cos(2100 ) =
6

8. sin−1 (−

√3
)
2

1
√3

2

=−

𝟐
√𝟑

= 2400 𝑜𝑟 3000

9. 𝐴𝑟𝑐𝑡𝑎𝑛(−1) = tan−1 (−1) = 1350 𝑜𝑟 3150
10. 𝑐𝑜𝑠𝜃 = −

√3
2

and lies in the Quadrant II means 𝜃 = 1500

The other five trigonometric functions become.
𝐬𝐢𝐧(�...


Anonymous
Really great stuff, couldn't ask for more.

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