ట్రిగోనమెట్రీ – Step-wise Solved Problems (1–20)

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1. sin 30° + cos 60° = ?
Step 1: sin 30° = 1/2
Step 2: cos 60° = 1/2
Final Answer = 1

2. tan 45° = ?
Step 1: tan 45° = 1
Answer = 1

3. sin²θ + cos²θ = ?
Step 1: Identity apply చేయండి
Answer = 1

4. sin 60° × cos 30° = ?
Step 1: sin 60° = √3/2
Step 2: cos 30° = √3/2
Step 3: Multiply → 3/4
Answer = 3/4

5. tan 30° = ?
Step 1: tan 30° = 1/√3
Answer = 1/√3

6. cos 0° = ?
Step 1: cos 0° = 1
Answer = 1

7. sin 90° = ?
Step 1: sin 90° = 1
Answer = 1

8. tan²45° = ?
Step 1: tan 45° = 1
Step 2: square → 1
Answer = 1

9. sec 60° = ?
Step 1: secθ = 1/cosθ
Step 2: cos60° = 1/2
Step 3: sec60° = 2
Answer = 2

10. cosec 30° = ?
Step 1: cosecθ = 1/sinθ
Step 2: sin30° = 1/2
Step 3: cosec30° = 2
Answer = 2

11. sinθ / cosθ = ?
Step: tanθ
Answer = tanθ

12. 1 + tan²θ = ?
Identity → sec²θ
Answer = sec²θ

13. 1 + cot²θ = ?
Identity → cosec²θ
Answer = cosec²θ

14. sinθ = cosθ అయితే θ = ?
Step: θ = 45°
Answer = 45°

15. sinθ + cosθ max value?
Answer = √2

16. sinθ cosθ max value?
Answer = 1/2

17. tanθ undefined?
Answer = 90°

18. cosθ − sinθ max?
Answer = √2

19. sin²30° = ?
Step: (1/2)² = 1/4
Answer = 1/4

20. cos²60° = ?
Step: (1/2)² = 1/4
Answer = 1/4

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Shaktimatha Learning | Step-wise Practice Series