tough question

Question

GIVEN THAT SIN(7Π/20)=0.8910 AND COS(7Π/20)=0.4540.USE THESE APPROXIMATE FUNCTION VALUES .

 

a) THE OTHER FOUR FUNCTION VALUES FOR 7Π/20

 

TAN 7Π/20=    SEC 7Π/20=       CSC 7Π/20=     COT 7Π/20=

 

 

b) THE SIX FUNCTION VALUES FOR 3Π/20

 

SIN 3Π/20=   COS 3Π/20=    TAN 3Π/20=     SEC 3Π/20=    CSC 3Π/20 =      COT 3Π/20=

 

(ROUND TO FOUR DECIMAL PLACES AS NEEDED)

Answer 1

Remember that:

 

tan(x) = sin(x)/cos(x)

sec(x) = 1/cos(x)

csc(x) = 1/sin(x)

cot(x) = 1/tan(x) = cos(x)/sin(x)

 

Plug in the values for cosine and sine that you've been given to solve for the other values.

 

 

 

For the second question, use your calculator to find out what sin(3π/20) and cos(3π/20) equal. Then, do the same thing you did in the first question.