SOLUTION: please help me solve this problem. sin theta= -8/9, tan theta > 0. Find secant theta. a. {{{ sqrt( 9/8 ) }}} b. {{{ - sqrt( 17 ) /9 }}} c. {{{ -8 * sqrt( 17/17 ) }}} d. {{{

Algebra ->  Trigonometry-basics -> SOLUTION: please help me solve this problem. sin theta= -8/9, tan theta > 0. Find secant theta. a. {{{ sqrt( 9/8 ) }}} b. {{{ - sqrt( 17 ) /9 }}} c. {{{ -8 * sqrt( 17/17 ) }}} d. {{{       Log On


   

Question 324681: please help me solve this problem.
sin theta= -8/9, tan theta > 0. Find secant theta.
a. +sqrt%28+9%2F8+%29+
b. +-+sqrt%28+17+%29+%2F9++
c. +-8+%2A+sqrt%28+17%2F17+%29+
d. +-9+%2A+sqrt%28+17%2F17+%29+
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sin%28theta%29=-8%2F9
cos%28theta%29%5E2%2Bsin%28theta%29%5E2=1
cos%28theta%29%5E2%2B64%2F81=1
cos%28theta%29%5E2=81%2F81-64%2F81
cos%28theta%29%5E2=17%2F81
cos%28theta%29=0+%2B-+sqrt%2817%29%2F9
Since tan>0, sin<0, then cos<0,
cos%28theta%29=-sqrt%2817%29%2F9
sec%28theta%29=1%2Fcos%28theta%29=-9%2Fsqrt%2817%29