Fundamental Trigonometric Identities

Question 1

Reciprocal Identity: Sin x

Answer 1

1/csc x

Question 2

Reciprocal Identity: Cos x

Answer 2

1/ sec x

Question 3

Reciprocal Identity: Tan x

Answer 3

1/Cot x

Question 4

Reciprocal Identity: Csc x

Answer 4

1/sin x

Question 5

Reciprocal Identity: sec x

Answer 5

1/cos x

Question 6

Reciprocal Identity: cot x

Answer 6

1/tan x

Question 7

Quotient Identity: tan x

Answer 7

Sin x/cos x

Question 8

Quotient Identity: cot x

Answer 8

Cos x/sin x

Question 9

Pythagorean Identity: 1

Answer 9

Sin^2 x+ cos^2 x

Question 10

Pythagorean Identity: 1+ tan^2 x

Answer 10

Sec^2 x

Question 11

Pythagorean Identity: 1+ cot^2 x

Answer 11

Csc^2 x

Question 12

Cofunction Identity: sin(pi/2-x)

Answer 12

Cos x

Question 13

Cofunction Identity: cos(pi/2-x)

Answer 13

Sin x

Question 14

Cofunction Identity: tan(pi/2-x)

Answer 14

Cot x

Question 15

Cofunction Identity: cot(pi/2-x)

Answer 15

Tan x

Question 16

Cofunction Identity: sec(pi/2-x)

Answer 16

Csc x

Question 17

Cofunction Identity: csc(pi/2-x)

Answer 17

Sec x

Question 18

Even/Odd Identity: sin(-x)

Answer 18

-sin x

Question 19

Even/Odd Identity: cos(-x)

Answer 19

-cos x

Question 20

Even/Odd Identity: tan(-x)

Answer 20

-tan x

Question 21

Even/Odd Identity: csc(-x)

Answer 21

-csc x

Question 22

Even/Odd Identity: sec(-x)

Answer 22

-sec x

Question 23

Even/Odd Identity: cot(-x)

Answer 23

-cot x