Trigonometric Identities
Terms
undefined, object
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cotangent ϴ
(abbreviation) - cot ϴ
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secant ϴ
(abbreviation) - sec ϴ
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cosecant ϴ
(abbreviation) - csc ϴ
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cot ϴ
(full name) - cotangent ϴ
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sin ϴ
(reciprocal) -
1
────
csc Ï´ -
cos ϴ
(reciprocal) -
1
────
sec Ï´ -
sec ϴ
(full name) - secant ϴ
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tan ϴ
(reciprocal) -
1
────
cot Ï´ -
csc ϴ
(reciprocal) -
1
────
sin Ï´ -
sec ϴ
(reciprocal) -
1
────
cos Ï´ -
csc ϴ
(full name) - cosecant ϴ
-
cot ϴ
(reciprocal) -
1
────
tan Ï´ -
tan ϴ
(ratio) -
sin Ï´
────
cos Ï´ -
sin ϴ
(definition) -
y
─
r -
cot ϴ
(ratio) -
cos Ï´
────
sin Ï´ -
cos ϴ
(definition) -
x
─
r -
tan ϴ
(definition) -
y
─
x -
cot ϴ
(definition) -
x
─
y -
sec ϴ
(definition) -
r
─
x -
csc ϴ
(definition) -
r
─
y - Pythagorean Identity?
- cos²ϴ + sin²ϴ = 1
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What is:
cos²ϴ + sin²ϴ = 1 - The Pythagorean Identity.
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Simplify:
(cos²ϴ + sin²ϴ)/cos²ϴ = 1/cos²ϴ - 1 + tan²ϴ = sec²ϴ
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Simplify:
(cos²ϴ + sin²ϴ)/sin²ϴ = 1/sin²ϴ - cot²ϴ + 1 = csc²ϴ
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Express in terms of sin & cos:
1 + tan²ϴ = sec²ϴ - (cos²ϴ + sin²ϴ)/cos²ϴ = 1/cos²ϴ
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Express in terms of sin & cos:
cot²ϴ + 1 = csc²ϴ - (cos²ϴ + sin²ϴ)/sin²ϴ = 1/sin²ϴ