Trigonometry

37 Maharashtra State Board Class 9 Mathematics practice questions with answers and worked solutions.

Difficulty: 18 easy · 18 moderate · 1 hard.
Most-asked subtopics: Trigonometric Ratios (17), Relations among Trigonometric Ratios (11), Trigonometric Ratios of Particular Angles (9).
Updated 22 August 2026.

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Set · 4 questions
In the Fig. 8.12, $\angle R$ is the right angle of $\Delta PQR$ . Write the following ratios. Fig. 8.12 shows $\Delta PQR$ with the right-angle square marked at $R$ — $P$ at the left, $R$ at the top right and $Q$ at the bottom right — so $PQ$ is the hypotenuse while $PR$ and $RQ$ are the two legs. No side lengths are printed; write each ratio using the side names.
- #1Trigonometric Ratios
- #2Trigonometric Ratios
- #3Trigonometric Ratios
- #4Trigonometric Ratios
Set · 4 questions
In the right angled $\Delta XYZ$ , $\angle XYZ = 90^\circ$ and $a, b, c$ are the lengths of the sides as shown in the figure. Write the following ratios. In Fig. 8.13 the right-angle square is at $Y$ , with $Y$ at the top left, $X$ at the top right and $Z$ at the bottom; the side labels are $a = YZ$ , $b = XY$ and $c = XZ$ , so $c$ is the hypotenuse and $a$ , $b$ are the two legs.
- #5Trigonometric Ratios
- #6Trigonometric Ratios
- #7Trigonometric Ratios
- #8Trigonometric Ratios
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Set · 4 questions
In right angled $\Delta LMN$ , $\angle LMN = 90^\circ$ , $\angle L = 50^\circ$ and $\angle N = 40^\circ$ , write the following ratios. In Fig. 8.14 the right-angle square is at $M$ , with $L$ at the top, $M$ at the bottom left and $N$ at the bottom right; the $50^\circ$ is marked at $L$ and the $40^\circ$ at $N$ , so $LN$ is the hypotenuse while $LM$ and $MN$ are the two legs. No side lengths are printed; write each ratio using the side names.
- #9Trigonometric Ratios
- #10Trigonometric Ratios
- #11Trigonometric Ratios
- #12Trigonometric Ratios
Set · 2 questions
In the figure 8.15, $\angle PQR = 90^\circ$ , $\angle PQS = 90^\circ$ , $\angle PRQ = \alpha$ and $\angle QPS = \theta$ . Write the following trigonometric ratios. In Fig. 8.15 the points $R$ , $Q$ , $S$ lie in that order on one straight line and $P$ is above $Q$ , with the right-angle square marked at $Q$ so that $PQ \perp RS$ ; $\alpha$ is the angle at $R$ between $RP$ and $RQ$ , and $\theta$ is the angle at $P$ between $PQ$ and $PS$ . Thus $\Delta PQR$ is right angled at $Q$ with hypotenuse $PR$ , and $\Delta PQS$ is right angled at $Q$ with hypotenuse $PS$ . No side lengths are printed; write each ratio using the side names.
- #13Trigonometric Ratios
- #14Trigonometric Ratios
#15Trigonometric Ratios of Particular Angles
#16Relations among Trigonometric Ratios
#17Trigonometric Ratios
#18Relations among Trigonometric Ratios
#19Relations among Trigonometric Ratios
Set · 6 questions
Find the values of -
- #20Trigonometric Ratios of Particular Angles
- #21Trigonometric Ratios of Particular Angles
- #22Trigonometric Ratios of Particular Angles
- #23Trigonometric Ratios of Particular Angles
- #24Trigonometric Ratios of Particular Angles
- #25Trigonometric Ratios of Particular Angles
#26Relations among Trigonometric Ratios
#27Relations among Trigonometric Ratios
Set · 4 questions
Choose the correct alternative answer for following multiple choice questions.
- #28Relations among Trigonometric Ratios
- #29Trigonometric Ratios of Particular Angles
- #30Trigonometric Ratios of Particular Angles
- #31Relations among Trigonometric Ratios
#32Trigonometric Ratios
#33Trigonometric Ratios
#34Relations among Trigonometric Ratios
Set · 3 questions
Fill in the blanks.
- #35Relations among Trigonometric Ratios
- #36Relations among Trigonometric Ratios
- #37Relations among Trigonometric Ratios

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Trigonometry

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