Trig Reciprocal Identities Flashcards
What is the reciprocal identity of sine?
Cosecant (csc)
What is the reciprocal identity of cosine?
Secant (sec)
What is the reciprocal identity of tangent?
Cotangent (cot)
True or False: The cosecant function is defined as 1/sin(x).
True
True or False: The secant function is defined as 1/cos(x).
True
Fill in the blank: The cotangent function is defined as _____.
1/tan(x)
What is the relationship between sine and cosecant?
csc(x) = 1/sin(x)
What is the relationship between cosine and secant?
sec(x) = 1/cos(x)
What is the relationship between tangent and cotangent?
cot(x) = 1/tan(x)
Which of the following is the correct reciprocal identity for tan(x)?
A) csc(x)
B) sec(x)
C) cot(x)
C) cot(x)
What is the cosecant of an angle if sin(x) = 0.5?
csc(x) = 2
If cos(x) = 0.8, what is sec(x)?
sec(x) = 1.25
If tan(x) = 3, what is cot(x)?
cot(x) = 1/3
True or False: The reciprocal identities apply only to acute angles.
False
What is the cosecant of 90 degrees?
1
What is the secant of 0 degrees?
1
What is the cotangent of 45 degrees?
1
Complete the reciprocal identity: csc(x) = ____.
1/sin(x)
Complete the reciprocal identity: sec(x) = ____.
1/cos(x)
Complete the reciprocal identity: cot(x) = ____.
1/tan(x)
Multiple choice: Which function is the reciprocal of sine?
A) sec
B) csc
C) cot
B) csc
Multiple choice: Which function is the reciprocal of cosine?
A) tan
B) sec
C) cot
B) sec
Multiple choice: Which function is the reciprocal of tangent?
A) csc
B) sec
C) cot
C) cot
What is the cosecant of 30 degrees?
csc(30) = 2
