Use the given function values and the trigonometric ientitie

Use the given function values and the trigonometric ientities to find the indicated triogonmetric functions.

Trig Identities: sin^2 + cos^2 = 1 tan^2 + 1 = sec^2

sin^2/cos^2 = tan^2 1 + cot^2 = csc^2

Function:

sin (30 degrees) = 1/2 , tan (30 degrees) = radical3 / 3

a. csc 30 degrees

b. cot 60 degrees

c. cos 30 degrees

d. cot 30 degrees

A 32.5 g iron rod, initially at 22.9 C, is submerged into an unknown mass of water at 64.0 C, in an insulated container. The final temperature of the mixture upon reaching thermal equilibrium is 58.4 C. You may want to reference (D ages 259 264) Section 6.4 while completing this problem. What is the mass of the water? Express your answer to two significant figures and include the appropriate units m Value Submit My Answers Give Up Feedback Continue

Solution

Csc 30 degree=1/sin 30degree=1/1/2=2

Cot 60=cot(90-30)=tan 30=radical 3/3

Cos 30=sqrt(1-sin²30)=sqrt(1-1/4)=sqrt3/2

Cot 30=sqrt(csc²30-1)=sqrt(4-1)=sqrt3