AP EAMCET (EAPCET) Mathematic Multiple Choice Questions (MCQs)
AP EAMCET Trigonometry MCQs
AP EAMCET Trigonometry - Multiple Choice Questions
101. Which of the following is the graph of \( \sin x \)?
A) A straight line
B) A wave-like curve passing through the origin
C) A parabola
D) A circle
Answer: B) A wave-like curve passing through the origin
102. The value of \( \sin 90^\circ \) is:
A) 1
B) 0
C) -1
D) Undefined
Answer: A) 1
103. What is the period of the function \( f(x) = \cos 3x \)?
A) \( 2\pi \)
B) \( \frac{2\pi}{3} \)
C) \( 3\pi \)
D) \( \pi \)
Answer: B) \( \frac{2\pi}{3} \)
104. The trigonometric identity for \( \sin(A + B) \) is:
A) \( \sin A \cos B + \cos A \sin B \)
B) \( \sin A + \sin B \)
C) \( \cos A \cos B - \sin A \sin B \)
D) \( \cos(A + B) \)
Answer: A) \( \sin A \cos B + \cos A \sin B \)
105. Which of the following is a correct transformation for \( \sin(2x) \)?
A) \( 2 \sin x \)
B) \( \sin x + \cos x \)
C) \( 2 \cos^2 x - 1 \)
D) \( \cos(2x) \)
Answer: C) \( 2 \cos^2 x - 1 \)
106. The compound angle identity for \( \cos(A + B) \) is:
A) \( \cos A \cos B - \sin A \sin B \)
B) \( \cos A \sin B + \sin A \cos B \)
C) \( \sin A \cos B + \cos A \sin B \)
D) \( \cos A + \cos B \)
Answer: A) \( \cos A \cos B - \sin A \sin B \)
107. Which of the following is the trigonometric ratio for \( \tan 45^\circ \)?
A) 0
B) 1
C) Undefined
D) \( \sqrt{2} \)
Answer: B) 1
108. The value of \( \sin(30^\circ) \) is:
A) \( \frac{1}{2} \)
B) \( \frac{\sqrt{2}}{2} \)
C) \( \frac{\sqrt{3}}{2} \)
D) 1
Answer: A) \( \frac{1}{2} \)
109. Which identity represents the sum-to-product formula for trigonometric functions?
A) \( \sin A \pm \sin B = 2 \sin \left(\frac{A \pm B}{2}\right) \cos \left(\frac{A \mp B}{2}\right) \)
B) \( \cos A + \cos B = 2 \cos \left(\frac{A + B}{2}\right) \cos \left(\frac{A - B}{2}\right) \)
C) \( \cos(A + B) = \cos A \cos B - \sin A \sin B \)
D) \( \sin A = \cos B \)
Answer: A) \( \sin A \pm \sin B = 2 \sin \left(\frac{A \pm B}{2}\right) \cos \left(\frac{A \mp B}{2}\right) \)
110. The trigonometric identity for \( \cos(2A) \) in terms of \( \sin A \) and \( \cos A \) is:
A) \( 1 - 2\sin^2 A \)
B) \( \cos^2 A - \sin^2 A \)
C) \( 2 \sin A \cos A \)
D) \( 1 + 2\cos^2 A \)
Answer: B) \( \cos^2 A - \sin^2 A \)
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