Trigonometry

Question 1

What is the formula for the blue segment

Answer 1

1/2 * r^2 * (angle- sine(angle))

Question 2

as x tends to 0
cos(x) tends to ______________

Answer 2

1-1/2x^2

Question 3

as x tends to 0
sin(x) tends to ______________

Answer 3

x

Question 4

as x tends to 0
tan(x) tends to ______________

Answer 4

x

Question 5

Cos(2a) can be rearranged as

Answer 5

2cos^2(a) -1

1- 2 Sin^2(a)

Question 6

sin(2a) can be rearranged as

Answer 6

2Sin(a)Cos(a)

Question 7

Tan(2a) can be rearranged as

Answer 7

( 2tan(a) ) / ( 1-tan^2(a) )

Question 8

Recite the trigonometric identity including sec and tan

Answer 8

Sec^2 - Tan^2 is always equal to 1

Question 9

Recite the trigonometric identity including cosec and cot

Answer 9

cosec^2 - cot^2 is always equal to 1

Question 10

Recite the trigonometric identity including sin and cos

Answer 10

Sin^2 + cos^2 is always equal to 1

Question 11

Sec(x) =

Cosec (x) =

Cot(x) =

Answer 11

1/cos

1/sin

1/tan

Question 12

What’s the Sine Rule

Answer 12

A/sin(a) = B/Sin(c) = ….

Question 13

What’s the Cosine Rule

Answer 13

A^2 = B^2 + C^2 -2BC*cos(a)