Class 9 Complementary Angles Mock Test (ICSE)

Topics in Complementary Angles

• Ratios of complementary angles
• Evaluating expressions using complementary angles
• Simplifying with complementary angle identities

Complementary Angles practice questions with answers

1. Q1Multiple choice·1 mark
   If $\sin 3A = \cos (A - 26^\circ)$, where $3A$ is an acute angle, the value of $A$ is:

   1. (a)$32^\circ$
   2. (b)$28^\circ$
   3. (c)$31^\circ$
   4. (d)$29^\circ$
   Show answer and step marks

   1. Correct option: (d) $29^\circ$+1

   Answer: (d)
2. Q2Multiple choice·1 mark
   The value of $\frac{\cos 40^\circ}{\sin 50^\circ} + \frac{\csc 50^\circ}{\sec 40^\circ} - 4 \cos^2 45^\circ$ is:

   1. (a)$1$
   2. (b)$0$
   3. (c)$2$
   4. (d)$-1$
   Show answer and step marks

   1. Correct option: (b) $0$+1

   Answer: (b)
3. Q3Multiple choice·1 mark
   Simplifying $\cos(90^\circ - A) \sin A + \sin(90^\circ - A) \cos A$ gives:

   1. (a)$0$
   2. (b)$\sin 2A$
   3. (c)$2$
   4. (d)$1$
   Show answer and step marks

   1. Correct option: (d) $1$+1

   Answer: (d)
4. Q4Multiple choice·1 mark
   The value of $\frac{\sin 35^\circ}{\cos 55^\circ} + \tan 20^\circ \cdot \tan 70^\circ$ is:

   1. (a)$3$
   2. (b)$0$
   3. (c)$2$
   4. (d)$1$
   Show answer and step marks

   1. Correct option: (c) $2$+1

   Answer: (c)

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