Which of the following is the reciprocal of sin θ?
A
cos θ
B
tan θ
C
cosec θ
D
sec θ
Analysis & Theory
The reciprocal of sin θ is cosec θ (cosecant θ).
Which of the following is the reciprocal of cos θ?
A
tan θ
B
sec θ
C
cot θ
D
cosec θ
Analysis & Theory
The reciprocal of cos θ is sec θ (secant θ).
Which of the following is the reciprocal of tan θ?
A
cot θ
B
sec θ
C
cosec θ
D
cos θ
Analysis & Theory
The reciprocal of tan θ is cot θ (cotangent θ).
What is the value of sin² θ + cos² θ?
A
1
B
0
C
sin θ
D
cos θ
Analysis & Theory
The Pythagorean identity states sin² θ + cos² θ = 1.
The Pythagorean identity 1 + tan² θ equals?
A
sec² θ
B
cosec² θ
C
cot² θ
D
sin² θ
Analysis & Theory
From Pythagorean identities: 1 + tan² θ = sec² θ.
The Pythagorean identity 1 + cot² θ equals?
A
sec² θ
B
cosec² θ
C
tan² θ
D
sin² θ
Analysis & Theory
From Pythagorean identities: 1 + cot² θ = cosec² θ.
Which of the following is an even function?
A
sin θ
B
cos θ
C
tan θ
D
cosec θ
Analysis & Theory
cos(−θ) = cos θ, so cosine is an even function.
Which of the following is an odd function?
A
sin θ
B
cos θ
C
sec θ
D
none
Analysis & Theory
sin(−θ) = −sin θ, so sine is an odd function.
The sum of angles formula for sine is?
A
sin(A + B) = sin A + sin B
B
sin(A + B) = sin A cos B + cos A sin B
C
sin(A + B) = cos A cos B − sin A sin B
D
sin(A + B) = sin A cos B − cos A sin B
Analysis & Theory
The correct formula is sin(A + B) = sin A cos B + cos A sin B.
The sum of angles formula for cosine is?
A
cos(A + B) = cos A + cos B
B
cos(A + B) = cos A cos B − sin A sin B
C
cos(A + B) = sin A sin B + cos A cos B
D
cos(A + B) = sin A cos B − cos A sin B
Analysis & Theory
The correct formula is cos(A + B) = cos A cos B − sin A sin B.