trigonometry identities and more

Question 1

derivative of sinx

Answer 1

cosx

Question 2

derivative of sin kx

Answer 2

kcos kx

Question 3

derivative of cos x

Answer 3

-sin x

Question 4

derivative of cos kx

Answer 4

-ksin kx

Question 5

derivative of tan x

Answer 5

sec^2x

Question 6

derivative of tan kx

Answer 6

k sec^2 kx

Question 7

derivative of sec x

Answer 7

sec x tan x

Question 8

derivative of sec kx

Answer 8

ksec kx tan kx

Question 9

derivative of cot x

Answer 9

-cosec^2 x

Question 10

derivative of cot kx

Answer 10

-kcosec^2 kx

Question 11

derivative of cosec x

Answer 11

-cosec x cot x

Question 12

cosec kx

Answer 12

-kcosec kx cot kx

Question 13

sin^2 x + cos^2 x = ?

Answer 13

1

Question 14

sin2A = ?

Answer 14

2sinAcosA

Question 15

sin4A = ?

Answer 15

2sin2Acos2A

Question 16

sin3A = ?

Answer 16

2sin3A/2cos3A/2

Question 17

sinA = ?

Answer 17

2sinA/2cosA/2

Question 18

cos2A = ?

Answer 18

2cos^2 A - 1 and 1 - 2sin^2 A

Question 19

sec^2 A = ?

Answer 19

1 + tan^2 A

Question 20

cosec^2 A

Answer 20

1 + cot^2 A

Question 21

tan2A = ?

Answer 21

2tanA / 1 - tan^2 A

Question 22

tan (A + B) = ?

Answer 22

tanA + tanB / 1- tanAtanB

Question 23

tan (A - B) = ?

Answer 23

tanA - tanB / 1 + tanAtanB

Question 24

cos (A + B) = ?

Answer 24

cosAcosB - sinAsinB

Question 25

cos (A - B) = ?

Answer 25

cosAcosB + sinAsinB

Question 26

sin (A + B) = ?

Answer 26

sinAcosB + cosAsinB

Question 27

sin (A - B) = ?

Answer 27

sinAcosB - cosAsinB