Fundamental Identities

Question 1

<p>Reciprocal:</p>

<p>sin &oslash; =</p>

Answer 1

<p>1 / csc &oslash;</p>

Question 2

<p>Reciprocal: sin ø = </p>

Answer 2

<p>1 / csc ø </p>

Question 3

<p>Reciprocal: cos ø = </p>

Answer 3

<p>1 / sec ø</p>

Question 4

<p>Reciprocal: tan ø = </p>

Answer 4

<p>1 / cot ø</p>

Question 5

<p>Reciprocal: csc ø = </p>

Answer 5

<p>1 / sin ø</p>

Question 6

<p>Reciprocal: sec ø = </p>

Answer 6

<p>1 / cos ø</p>

Question 7

<p>Reciprocal: cot ø = </p>

Answer 7

<p>1 / tan ø</p>

Question 8

<p>Quotient: tan ø = </p>

Answer 8

<p>sin ø / cos ø</p>

Question 9

<p>Quotient: cot ø = </p>

Answer 9

<p>cos ø / sin ø</p>

Question 10

<p>Pythagorean: sin² &oslash; + cos² &oslash; =</p>

Answer 10

<p>1</p>

Question 11

<p>Pythagorean: 1 + cot² &oslash; =</p>

Answer 11

<p>csc² &oslash;</p>

Question 12

<p>Pythagorean: tan² &oslash; + 1 =</p>

Answer 12

<p>sec² &oslash;</p>

Question 13

<p>Even/Odd:

| cosine is \_\_\_\_\_\_\_\_\_\_\_\_\_ so cos(-ø) =</p>

Answer 13

<p>even; cos ø</p>

Question 14

<p>Even/Odd

| sine is \_\_\_\_\_\_\_\_\_\_\_\_\_ so sin(-ø) = </p>

Answer 14

<p>odd; -sin(ø)</p>

Question 15

<p>Even/Odd

| tangent is \_\_\_\_\_\_\_\_\_\_\_\_\_ so tan(-ø) = </p>

Answer 15

<p>odd; -tan(ø)</p>

Question 16

<p>Even/Odd

| cotangent is \_\_\_\_\_\_\_\_\_\_\_\_\_ so tan(-ø) = </p>

Answer 16

<p>odd; -cot(ø)</p>

Question 17

<p>Even/Odd:

| secant is \_\_\_\_\_\_\_\_\_\_\_\_\_ so sec(-ø) =</p>

Answer 17

<p>even; sec ø</p>

Question 18

<p>Even/Odd

| cosecant is \_\_\_\_\_\_\_\_\_\_\_\_\_ so csc(-ø) = </p>

Answer 18

<p>odd; -csc(ø)</p>

Question 19

<p>Cofunction:

| cos(ø) = </p>

Answer 19

<p>sin(π/2 - ø)</p>

Question 20

<p>Cofunction:

| sin(ø) = </p>

Answer 20

<p>cos(π/2 - ø)</p>

Question 21

<p>Cofunction:

| cot(ø) = </p>

Answer 21

<p>tan(π/2 - ø)</p>

Question 22

<p>Cofunction:

| tan(ø) = </p>

Answer 22

<p>cot(π/2 - ø)</p>

Question 23

<p>Cofunction:

| sec(ø) = </p>

Answer 23

<p>cos(π/2 - ø)</p>

Question 24

<p>Cofunction:

| csc(ø) = </p>

Answer 24

<p>sec(π/2 - ø)</p>