Properties Of Trig Functions

Question 1

Cot x

Answer 1

1/tan x

Question 2

Tan x cot x

Answer 2

1

Question 3

Sec x

Answer 3

1/cos x

Question 4

Cos x sec x

Answer 4

1

Question 5

Csc x

Answer 5

1/sin x

Question 6

Sin x csc x

Answer 6

1

Question 7

Tan x

Answer 7

Sin x/cos x

Sec x/csc x

Question 8

Cot x

Answer 8

Cos x/sin x

Csc x/sec x

Question 9

Cos^2 x + sin^2 x

Answer 9

1

Question 10

1+ tan^2 x

Answer 10

Sec^2 x

Question 11

Cot^2 x + 1

Answer 11

Csc^2 x

Question 12

Sin (-x)

Answer 12

-sinx (odd)

Question 13

Cos(-x)

Answer 13

Cos x (even)

Question 14

Tan(-x)

Answer 14

-tan x

Odd

Question 15

Cot(-x)

Answer 15

-cot x

odd

Question 16

Sec(-x)

Answer 16

Sec x

even

Question 17

Csc(-x)

Answer 17

-csc x

odd

Question 18

Cos(90-θ)

Answer 18

Sin θ

Question 19

Cot(90-θ)

Answer 19

Tan θ

Question 20

Csc (90-θ)

Answer 20

Sec θ

Question 21

Cos (π/2 -x)

Answer 21

Sin x

Question 22

Cot(π/2 -x)

Answer 22

Tan x

Question 23

Csc(π/2 -x)

Answer 23

Sec x

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

Question 28

tan(A-B)

Answer 28

(tanA-tanB)/(1+tanAtanB)

Question 29

tan(A+B)

Answer 29

(tanA+tanB)/(1-tanAtanB)

Question 30

sin2x

Answer 30

2sinxcosx

Question 31

Cos2x

Answer 31

cos^2 x-sin^2 x
1-sin^2 x
2cos^2 x-1

Question 32

tan2x

Answer 32

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