# calculus-questions-on-trigonometric-functions

Find the exact value of the trigonometric expression given that

sin u = âˆ’

 12 13

and

cos v = âˆ’

 15 17

. (Both
u and

tan(u + v)

2.â€“/3.84 pointsLarPreCalcRMRPAlt6 6.5.060.My Notes

 Question Part Points

Find the exact values of sin(u/2), cos(u/2), and tan(u/2) using the half-angle formulas.

sec(u) = âˆ’
 11 5
,
 Ï€ 2
< u < Ï€

sin(
u/2) =

cos(
u/2) =

tan(
u/2) =

3.â€“/3.84 pointsLarPreCalcRMRPAlt6 6.4.032.My Notes

Write the expression as the sine, cosine, or tangent of an angle.sin(16Â°)cos(77Â°) + cos(16Â°)sin(77Â°)

4.â€“/3.84 pointsLarPreCalcRMRPAlt6 6.5.022.My Notes

Find the exact values of sin 2u, cos 2u, and tan 2u using the double-angle formulas.

cos u = âˆ’

 12 13

,

 Ï€ 2

<
u <
Ï€

 sin 2u = cos 2u = tan 2u =

5.â€“/3.84 pointsLarPreCalcRMRPAlt6 6.4.050.My Notes

 Question Part Points

Find the exact value of the trigonometric expression given that sin u =

 15 17

and

cos v = âˆ’

 20 29

. (Both
u and

cos(v âˆ’ u)

6.â€“/3.84 pointsLarPreCalcRMRPAlt6 6.4.020.My Notes

 Question Part Points

Find the exact values of the sine, cosine, and tangent of the angle.

 7Ï€ 12

=

 Ï€ 3

+

 Ï€ 4

sin

 7Ï€ 12

=

cos

 7Ï€ 12

=

tan

 7Ï€ 12

=

7.â€“/3.84 pointsLarPreCalcRMRPAlt6 6.4.056.My Notes

 Question Part Points

Find the exact value of the trigonometric expression given that sin u = âˆ’

 20 29

and

cos v = âˆ’

 7 25

. (Both
u and

cos(u âˆ’ v)

8.â€“/3.84 pointsLarPreCalcRMRPAlt6 6.5.058.My Notes

 Question Part Points

Find the exact values of sin(u/2), cos(u/2), and tan(u/2) using the half-angle formulas.cot u = 2,Ï€ < u < 3Ï€/2

 sin(u/2) = cos(u/2) = tan(u/2) =

9.â€“/3.84 pointsLarPreCalcRMRPAlt6 6.5.056.My Notes

Find the exact values of sin(u/2), cos(u/2), and tan(u/2)

using the half-angle formulas.

cos u =

 5 13

,0 <
u <
Ï€/2

 sin(u/2) = cos(u/2) = tan(u/2) =

10.â€“/3.84 pointsLarPreCalcRMRPAlt6 6.4.034.My Notes

Write the expression as the sine, cosine, or tangent of an angle.

 tan(62Â°) âˆ’ tan(54Â°) 1 + tan(62Â°)tan(54Â°)

11.â€“/3.84 pointsLarPreCalcRMRPAlt6 6.4.038.My Notes

Write the expression as the sine, cosine, or tangent of an angle. 12.â€“/3.84 pointsLarPreCalcRMRPAlt6 6.5.046.My Notes

 Question Part Points

Use the figure to find the exact value of each trigonometric function. (a)sin

 Î¸ 2

(b)

cos

 Î¸ 2

(c)

tan

 Î¸ 2

(d)

cot

 Î¸ 2

(e)

sec

 Î¸ 2

(f)

csc

 Î¸ 2

(g)

2 sin

 Î¸ 2

cos

 Î¸ 2

(h)

2 cos

 Î¸ 2

tan

 Î¸ 2

13.â€“/3.84 pointsLarPreCalcRMRPAlt6 6.4.052.My Notes

 Question Part Points

Find the exact value of the trigonometric expression given that sin u =

 5 13

and

cos v = âˆ’

 40 41

. (Both
u and 