Pre calculus 68 15 6 tan t tan t ise the opposite angle iden

15 6. tan (t tan (t) ise the opposite angle identities and/or the periodi lentities to evaluate the following. Tote: These questions are similar to those in Chapter he identities mentioned above offer an alternative vethod of finding trigonometric functions of negative umbers or of numbers whose absolute value is greater lan 2nt

Solution

6) tant = -15/8 ; pi/2 <t< 3pi/2 t is in IInd and IIIrd quadrant

t = tan^-1(15/8) = 1.08

Now t is in IInd and IIIrd quadrant:

t = pi -1.08 , pi +1.08 =2.06 rad , 4.22 rad

8) cot(t) = 4Sqrt3 ; pi <t < 3pi/2

tan(t) = 1/4sqrt3

t = tan^-1(1/4sqrt3) = 0.143

Now t is in IIrd quadrant so, it positive

t = 0.143 +pi = 3.141 radians