Lesson 1 About Trigometry

Question 1

What are the 3 Pythagorean identities?

Answer 1

1. Sin²+Cos²=1
2. 1+ Tan²=Sec²
3. 1 + Cot² = Csc ²

Question 2

What are the cosine sum and difference identities

Answer 2

1. Cos(A+B) = CosACosB - SinASinb
2. Cos(A-B) = CosACosB + SinASinB

Question 3

what are the sine sum and difference identities

Answer 3

1. Sin(A+B) = SinACosB + CosASinB
2. Sin(A-B) = SinACosB - CosASinB

Question 4

What are the tangent sum and difference identities

Answer 4

1. Tan (A+B) = Tan A+TanB/1-TanATanB
2. Tan(A-B) = TanA-TanB/1+TanATanB

Question 5

What is the Double angle identity of Sine

Answer 5

Sin2x = 2SinxCosx

Question 6

What is the Double Angle identity of Cosine

Answer 6

Cos2x = Cos²-Sin²

Question 7

What is the Double Angle identity of tangent

Answer 7

Tan2x = 2Tanx/1-Tan²

Question 8

What is the half angle identity of Sine

Answer 8

Sinx/2= +/- Root ((1-Cosx)/2)

Question 9

What is the half angle identity of cosine

Answer 9

Cosx/2 = +/- Root ((1+Cosx)/2)

Question 10

What is the half angle identity of tangent

Answer 10

Tanx/2 = 1-cosx/sinx

Question 11

What is the derivative of sinx

Answer 11

Cosx

Question 12

What is the derivative of cosx x

Answer 12

-sinx

Question 13

what is the derivative of tanx

Answer 13

sec²x

Question 14

What is the derivative of Secx

Answer 14

secxtanx

Question 15

What is the derivative of cscx

Answer 15

-cscxcotx

Question 16

What is the derivative of cotx

Answer 16

-csc²x