Test: Trigonometric Equations I - Challenging

Double click on maths expressions to zoom
Question 1:   Solve the equation cos π 8 4x =1 .
x=  π 32 πn 2 ,nΖ
x=  π 32 2πn,nΖ
x=  π 8 2πn, nΖ
x=  π 8 πn 2 , nΖ
Question 2:   Find the biggest negative root of the equation sin 3x π 15 =1 .
x= 13π 45
x= 17π 90
x= 13π 90
x=π
Question 3:   Find the sum of the roots of the equation tg2x= 3 , which belong to the range π; π 2 .
π 6
π 3
π 2
5π 6
Question 4:   Solve the equation arccosx= 1 3 .
sin 1 3
 cos 1 3
   1 3
π 3
Question 5:   Solve the inequality arctg 4x5 > π 3 .
x ; 5 3 4
x 5 3 4 ;+
x 5; π 3
x π 3 ;5
Please note, you have solved only half of the test. For the complete test get a Must Have account. Get started