Question

Use an identity to solve the equation on the interval [0, 21). 9+9 sin 0 = 6 cos 20 What is the solution in the interval [0, 21)? Select the correct choice and fill in any answer boxes in your choice below. A. 0= (Simplify your answer. Type an exact answer, using a as needed. Type your answer in radians. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. There is no solution.

Answer 1

Given 9+ q sino 6 cos²o [0, 21) 3+3sind=2cos²o 3+3sino 211-sino) 3+3 sino = 2-2 sin2o 2 sin²o+ 3sino +1=0 asin2o+2sinot sino+1=0 2sino ( sino+1) + (Sine +1) = 0 (sinot) (2 sinot) = sino = -1 sino = - or caset sino =-| q sino-sin (-1/2) General equation sho: sina is o=nat (linn 0 - 18+ (-1)" (-1/2) o inn-.1-11/1/2) when n=1, treno = 37/2 - 37/2 then When n=2