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Magazine Problem 267
For the following exercises, solve exactly on the interval \([0,2 \pi) .\) Use the quadratic formula if the equations do not factor. $$ \sin ^{2} x-2 \sin x-4=0 $$
Problem 268
For the following exercises, solve exactly on the interval \([0,2 \pi) .\) Use the quadratic formula if the equations do not factor. $$ 5 \cos ^{2} x+3 \cos x-1=0 $$
Problem 269
For the following exercises, solve exactly on the interval \([0,2 \pi) .\) Use the quadratic formula if the equations do not factor. $$ 3 \cos ^{2} x-2 \cos x-2=0 $$
Problem 270
For the following exercises, solve exactly on the interval \([0,2 \pi) .\) Use the quadratic formula if the equations do not factor. $$ 5 \sin ^{2} x+2 \sin x-1=0 $$
Problem 271
For the following exercises, solve exactly on the interval \([0,2 \pi) .\) Use the quadratic formula if the equations do not factor. $$ \tan ^{2} x+5 \tan x-1=0 $$
Problem 272
For the following exercises, solve exactly on the interval \([0,2 \pi) .\) Use the quadratic formula if the equations do not factor. $$ \cot ^{2} x=-\cot x $$
Problem 273
For the following exercises, solve exactly on the interval \([0,2 \pi) .\) Use the quadratic formula if the equations do not factor. $$ -\tan ^{2} x-\tan x-2=0 $$
Problem 274
For the following exercises, find exact solutions on the interval \([0,2 \pi) .\) Look for opportunities to use trigonometric identities. $$ \sin ^{2} x-\cos ^{2} x-\sin x=0 $$
Problem 276
For the following exercises, find exact solutions on the interval \([0,2 \pi) .\) Look for opportunities to use trigonometric identities. $$ \sin (2 x)-\sin x=0 $$
Problem 277
For the following exercises, find exact solutions on the interval \([0,2 \pi) .\) Look for opportunities to use trigonometric identities. $$ \cos (2 x)-\cos x=0 $$
