Fundamental Identities Flashcards

Memorize the Reciprocal Quotient Pythagorean Even/Odd Cofunction

1
Q

<p>Reciprocal:</p>

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

A

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

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2
Q

<p>Reciprocal: sin ø = </p>

A

<p>1 / csc ø </p>

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3
Q

<p>Reciprocal: cos ø = </p>

A

<p>1 / sec ø</p>

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4
Q

<p>Reciprocal: tan ø = </p>

A

<p>1 / cot ø</p>

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5
Q

<p>Reciprocal: csc ø = </p>

A

<p>1 / sin ø</p>

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6
Q

<p>Reciprocal: sec ø = </p>

A

<p>1 / cos ø</p>

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7
Q

<p>Reciprocal: cot ø = </p>

A

<p>1 / tan ø</p>

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8
Q

<p>Quotient: tan ø = </p>

A

<p>sin ø / cos ø</p>

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9
Q

<p>Quotient: cot ø = </p>

A

<p>cos ø / sin ø</p>

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10
Q

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

A

<p>1</p>

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11
Q

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

A

<p>csc2 &oslash;</p>

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12
Q

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

A

<p>sec2 &oslash;</p>

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13
Q

<p>Even/Odd:

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

A

<p>even; cos ø</p>

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14
Q

<p>Even/Odd

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

A

<p>odd; -sin(ø)</p>

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15
Q

<p>Even/Odd

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

A

<p>odd; -tan(ø)</p>

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16
Q

<p>Even/Odd

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

A

<p>odd; -cot(ø)</p>

17
Q

<p>Even/Odd:

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

A

<p>even; sec ø</p>

18
Q

<p>Even/Odd

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

A

<p>odd; -csc(ø)</p>

19
Q

<p>Cofunction:

| cos(ø) = </p>

A

<p>sin(π/2 - ø)</p>

20
Q

<p>Cofunction:

| sin(ø) = </p>

A

<p>cos(π/2 - ø)</p>

21
Q

<p>Cofunction:

| cot(ø) = </p>

A

<p>tan(π/2 - ø)</p>

22
Q

<p>Cofunction:

| tan(ø) = </p>

A

<p>cot(π/2 - ø)</p>

23
Q

<p>Cofunction:

| sec(ø) = </p>

A

<p>cos(π/2 - ø)</p>

24
Q

<p>Cofunction:

| csc(ø) = </p>

A

<p>sec(π/2 - ø)</p>