Signs of Trigonometric Ratios - Activity V1

Signs of Trigonometric Ratios - CONTEST

Chapter Name: M3 - Trigonometry Topic: M3.1 – Angles and the Unit Circle

RISE FIGHT CONQUERTHE CROWN OF TRIGONOMETRY

• Throughout history, there has been a battle of words between the Egyptians and the Indians, claiming the rights for the invention of Trigonometry.

• The Egyptians have sent their smartest warriors to fight it out with the Indian equals.Avanti needs to send a warrior to represent India and we have set up a contest to identify the most capable individual who can defend India’s crown of Trigonometry.

• There will be 5 internal rounds ( ROUND 1-5) between you all and after each battle one warrior will advance to the final round

Rounds 1 to 5 – Last Person Standing!• All students will initially be standing in the classroom

with voting cards.• There will be a trigonometric ratio on the screen, with

four options (positive, negative, zero, undefined) • Students will get exactly 30 seconds to finalize an

answer, and everyone will vote simultaneously after 30 seconds.

• Those who get the answer wrong will be eliminated and will sit down, and the remaining students will attempt the next question.

• This will continue till there is a last person standing! This student will qualify for Round 6 (explained on next slide)

• Then Round 2 will start with everyone standing again, and so on for 5 rounds till we have 5 unique winners.

Round 6 – Battle of the WARRIORS!

• There will be questions in this round. Each question will have points for the correct answer, and point for the incorrect answer.

• The warriors will stand in their respective places, and will not be allowed a paper and pen, and will only have voting cards. They will be given exactly seconds per question.

• Voting is optional at the end of seconds.• The teacher must create a scoreboard on the

whiteboard to track the leader throughout the game.

• All other students must attempt the questions too for practice but they must maintain silence and honor the game.

Who will be the warrior to represent Avanti and India?

Aaj dekhenge, kisme kitna hai dum!

PRIZESThe overall winner will be awarded

a Mathematics book of his / her choice from Avanti’s library!

The top five students will get chocolates of the Teacher’s choice

All in all, Trigonometry wins

For the Teacher

• There are 50 questions for the first 5 rounds. If the 5 rounds get completed before the 50 questions are exhausted, do not continue Round 6 with the next question in sequence. Move to slide 110 for the questions for Round 6.

• In case the 50 questions get exhausted before we have 5 winners, move to Round 6 with as many winners that were identified so far.

Rounds 1 to 5

Students, get voting cards ready!

Teacher, get stopwatch ready!

Question 1

A.PositiveB.NegativeC.ZeroD.Undefined

Answer 1

Question 2

Answer 2

Question 3

Answer 3

Question 4

Answer 4

Question 5

Answer 5

Question 6

Answer 6

Question 7

Answer 7

Question 8

Answer 8

Question 9

Answer 9

Question 10

Answer 10

Question 11

Answer 11

Question 12

Answer 12

Question 13

Answer 13

Question 14

Answer 14

Question 15

Answer 15

Question 16

tan(245)A.PositiveB.NegativeC.ZeroD.Undefined

Answer 16

tan(245)A.PositiveB.NegativeC.ZeroD.Undefined

Question 17

Sin(140A.PositiveB.NegativeC.ZeroD.Undefined

Answer 17

Sin(140A.PositiveB.NegativeC.ZeroD.Undefined

Question 18

Answer 18

Question 19

Answer 19

Question 20

Answer 20

Question 21

Answer 21

Question 22

Answer 22

Question 23

Answer 23

Question 24

cos(360A.PositiveB.NegativeC.ZeroD.Undefined

Answer 24

Question 25

-sec(-93A.PositiveB.NegativeC.ZeroD.Undefined

Answer 25

-A.PositiveB.NegativeC.ZeroD.Undefined

Question 26

Answer 26

Question 27

Answer 27

Question 28

Answer 28

Question 29

Answer 29

Question 30

Answer 30

Question 31

Answer 31

Question 32

Answer 32

Question 33

Answer 33

Question 34

Answer 34

Question 35

Answer 35

Question 36

Answer 36

Question 37

Answer 37

Question 38

Answer 38

Question 39

Answer 39

Question 40

Answer 40

Question 41

Answer 41

Question 42

Answer 42

Question 43

Answer 43

Question 44

Answer 44

Question 45

Answer 45

Question 46

Answer 46

Question 47

Answer 47

Question 48

tan(A.PositiveB.NegativeC.ZeroD.Undefined

Answer 48

tanA.PositiveB.NegativeC.ZeroD.Undefined

Question 49

Answer 49

Question 50

Answer 50

Round 6! – Battle of the Warriors!

(Remember, +2 and -1)

Good luck!

Question 1

+ + A.PositiveB.NegativeC.ZeroD.Undefined

Answer 1

+ + A.PositiveB.NegativeC.ZeroD.Undefined

Sec90 = undefinedAny addition/subtraction to an undefined value will not make any difference

Hence, the overall value ( and so sign) is Undefined

Question 2

Sign of isA.PositiveB.NegativeC.ZeroD.Undefined

Answer 2

Question 3

Answer 3

Since , thus the sign will be negative.

Question 4

Answer 4

We can write as

Question 5

Sign of (1- sec3240isA.PositiveB.NegativeC.ZeroD.Undefined

Answer 5

Sign of (1- sec3240isA.PositiveB.NegativeC.ZeroD.Undefined

1 – sec3240 = 1 - sec(360

3 more questions to go!

Question 6

Sign of cosec(15isA.PositiveB.NegativeC.ZeroD.Undefined

Answer 6

Sign of cosec(15isA.PositiveB.NegativeC.ZeroD.Undefined

Question 7

Answer 7

= = undefined = undefined

Question 8

Answer 8

When no unit is specified, the angle is in radians.1 radian is close to while is close to Hence,

Hope this was fun! Congrats to the winners!

Signs of Trigonometric Ratios - Activity V1

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