Test: Trigonometric Functions I - Ambitious

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Question 1:   Compare these two angles expressed in radians: π 4 and 1 .
π 4 <1
π 4 =1
π 4 >1
π 4 1
Question 2:   Solve the expression sin0+tgπcos2π .
1 2
0
1
1
Question 3:   Which of these functions can be equal to 6 2 :
      1) sinα 2) cosα 3) tgα
1) and 3)
1) and 2)
2)
3)
Question 4:   Solve the expression sin 2 30° + cos 2 60° .
1+ 3 2
3 1 2
1 2
1 2
Question 5:   Compare two expressions: sin20° and sin21° .
sin20°>sin21°
sin20°sin21°
sin20°=sin21°
sin20°<sin21°
Question 6:   Compare two expressions: tg 60°   and  tg 40° .
tg 60° = tg 40°
tg 60° > tg 40°
tg 60°  tg 40°
tg 60° < tg 40°
Question 7:   Simplify the expression 1+ctgβ 2 + 1ctgβ 2 .
2
2ctgβ
2 sin 2 β
1 sin 2 β
Question 8:   Simplify the expression sin 30°α +cos 60°α .
sinα 2
3 sinα
cosα
cosα 3 sinα 2
Question 9:   Simplify the expression   tg π 2 +α ctg πα .
tgα
1
0
ctg α 2
Question 10:   Simplify the expression 1cos2α sin 2 α .
2
1
ctgα
tgα