Trigonometry — Important Questions
Maharashtra Board · Class 9 · Mathematics
45 important questions from Trigonometry for Maharashtra Board Class 9 Mathematics, with answers. Includes multiple choice and multiple correct questions.
Interactive on Super Tutor
Studying Trigonometry? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for important questions and more.
Free trial, no card needed.
Important Questions from Trigonometry
Which of the following are correct trigonometric ratios? (Select all correct answers)
Show answer
sin 45° = 1/√2, cos 60° = 1/2, sin 90° = 1
From standard trigonometric values: sin 45° = 1/√2 ✓, cos 60° = 1/2 ✓, sin 90° = 1 ✓. However, tan 30° = 1/√3 (not √3), and cos 0° = 1 (not 0).
What is the value of cos 45° + sin 45°?
Show answer
2/√2
Step 1: cos 45° = 1/√2 and sin 45° = 1/√2. Step 2: cos 45° + sin 45° = 1/√2 + 1/√2 = 2/√2 = √2.
If sin θ = cos θ, find the value of θ (where θ is acute).
Show answer
45°
Step 1: We know sin θ = cos θ. Step 2: From complementary angle relation, sin θ = cos(90° - θ). Step 3: So cos θ = cos(90° - θ), which means θ = 90° - θ. Step 4: Solving: 2θ = 90°, therefore θ = 45°.
Which relationships are correct for complementary angles? (Select all correct)
Show answer
sin θ = cos(90° - θ), cos θ = sin(90° - θ), tan θ = cot(90° - θ)
For complementary angles: sin θ = cos(90° - θ) ✓, cos θ = sin(90° - θ) ✓, tan θ = cot(90° - θ) ✓. The incorrect options show equal ratios which only occur at 45°.
+41 more questions on Trigonometry (Maharashtra Board Class 9 Mathematics)
Practise AllFrequently Asked Questions
What are the important topics in Trigonometry for Maharashtra Board Class 9 Mathematics?
How many important questions are there in Trigonometry?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Trigonometry
For serious students
Get the full Trigonometry chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Maharashtra Board Class 9 Mathematics. Free to start, no card needed.