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Basic Trigonometric Identities

Can you name the 17 basic trigonometric identities? These include: Pyhtagorean Identities, Quotient Identities, and Reciprocal Identities. Also, instead of typing the division symbol, just type the word OVER. Also, do not type the full trigonometric values Example: sin, not sine
Does not include cofunction identities
Quiz by Dumpling45
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Last updated: February 24, 2023
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First submittedFebruary 17, 2023
Times taken2
Average score47.1%
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trigonometric identity
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Type of Trigonometric Identity
Trigonometric Identity
Reciprocal Identity
sin(u)= 1 over csc(u)
Reciprocal Identity
cos(u)= 1 over sec(u)
Reciprocal Identity
sec(u)= 1 over cos(u)
Reciprocal Identity
csc(u)= 1 over sin(u)
Reciprocal Identity
tan(u)= 1 over cot(u)
Reciprocal Identity
cot(u)= 1 over tan(u)
Quotient Identity
tan(u)= sin(u) over cos(u)
Quotient Identity
cot(u)= cos(u) over sin(u)
Pythagorean Identity
sin²(u) + cos²(u)= 1/sin^2(u) + cos^2(u)= 1
Type of Trigonometric Identity
Trigonometric Identity
Pythagorean Identity
1 + tan²(u) = sec²(u)/1 + tan^2(u) = sec^2(u)
Pythagorean Identity
1 + cot²(u) = csc²(u)/ 1 + cot^2(u) = csc^2 (u)
Even/Odd Identity
sin(-u)= -sin(u)
Even/Odd Identity
cos(-u)= cos(u)
Even/Odd Identity
tan(-u) = -tan(u)
Even/Odd Identity
cot(-u) = -cot(u)
Even/Odd Identity
sec(-u) = sec(u)
Even/Odd Identity
csc(-u) = -csc(u)
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