math home work with show work i need it in 13 hours

Math 1720 Section ___ (2014S) (HW 7.5A) Date: __ __________________________

Name__________________________ Class ID:___________________________

Please write neatly and show all work.

1. Inverse functions facts: (a) One-to-one function and pass Vertical & horizontal-Line Test

(b) One-to-one function )( xf has an inverse function )(1 xf −

(c) )()(

1 xfxf

RangeDomain −= , )()(

1 xfxf

DomainRange −= and xxffxff == −−

))(())(( 11

(d) Graphs of ( )( xf vs )(1 xf − ) are reflections of each other across the line: y = x

(e) To find f -1

(x) from f(x):

1. yxf →)( 2. yx ↔ 3. ?=y 4. )(1 xfy −→

2. Fill blanks

3. Use the following functions: (sinθ , cosθ , tanθ , x 1

sin −

, x 1

cos −

, x 1

tan −

), briefly describe how you:

a) Find °θ to satisfy ( 05.2sin =−θ ),( 05.2cos =−θ ), )05.2(sec =−θ and( 05.2csc =−θ )

b) Find ( °

θ = tan 5.2 1−

), ( °

θ = tan )5.2( 1

− −

), ( °

θ = cot 5.2 1−

) and °

θ = cot )5.2( 1

− −

c) Find cos(2.5), cot(2.5), sec(2.5), csc(2.5), where 5.2=θ radians

4. Find the results for the following and explain why you have different answers from (a) to (d)

a) Findθ , if cosθ = 2

3 in the interval )2,0[ π

b) Findθ , if cosθ = 2

3 in the interval [ )°° 360,0

c) Find the exact value of 2

3 cos

1−

d) Give the degree measure of 2

3 cos

1−

sin x 1−

cos x 1−

tan x 1−

cot x 1−

sec x 1−

csc x 1−

Domain

Range

Quadrants @ Unit

Circle

5. Find the results for the following and explain why you have different answers from (a) to (d)

a) Findθ , if sinθ = 2

3 − in the interval )2,0[ π

b) Findθ , if sinθ = 2

3 − in the interval [ )°° 360,0

c) Find the exact value of 2

3 sin

1 −−

d) Give the degree measure of 2

3 sin

1 −−

Evaluate each expression without using calculator

6. )) 2

3 (sin(tan

1 −

− , ))

2

3 (cos(tan

1 −

− , ))

2

3 (tan(tan

1 −

− , ))

2

3 (sec(tan

1 −

−

7. )) 13

5 (tan(cos

1 −

− , ))

13

5 (sin(cos

1 −

− ))

13

5 (cot(cos

1 −

− , ))

13

5 (cos(cos

1 −

−

8. )) 3

1 arcsin()3(sin(tan

1 +

− , ))

3

1 arcsin()3(cos(tan

1 +

− ,

9. )) 5

3 arcsin(2sin( , ))

5

3 arcsin(2cos( ))

5

3 arcsin(2tan(

10. )) 17

8 arcsin(2sin(

− ))

17

8 arcsin(2cos(

− ))

17

8 arcsin(2csc(

−