SOLUTION: Let {{{ g(x) = (x) sqrt(64x^2+25) }}} and {{{ h(t)=(5/8)cot(t) }}} for {{{ 0<t<pi/2 }}} find g(h(t)), simplify and write the answer in terms of sin(t) and cos(t) please give ste

Algebra ->  Trigonometry-basics -> SOLUTION: Let {{{ g(x) = (x) sqrt(64x^2+25) }}} and {{{ h(t)=(5/8)cot(t) }}} for {{{ 0<t<pi/2 }}} find g(h(t)), simplify and write the answer in terms of sin(t) and cos(t) please give ste      Log On

There is an identity 





Since t is in the first quadrant we can eliminate the absolute value:



Use identities  and 





Edwin