"TRIGONOMETRY" ONE SHOT. | THE COMPLETE COACHING. | 8 घंटे + 350 सवाल। पढ़ लो मौका है। For SSC Exam.

Описание: ठीक है 👍 चलो पूरा Trigonometry Revision कर लेते हैं – पहले सभी formulas, फिर 20 important SSC questions।


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📘 Trigonometry Complete Formulas

1. Basic Ratios

\sin \theta = \frac{P}{H}, \quad \cos \theta = \frac{B}{H}, \quad \tan \theta = \frac{P}{B}

\cot \theta = \frac{1}{\tan \theta}, \quad \sec \theta = \frac{1}{\cos \theta}, \quad \csc \theta = \frac{1}{\sin \theta} 

2. Reciprocal Relations

\sin \theta \cdot \csc \theta = 1, \quad \cos \theta \cdot \sec \theta = 1, \quad \tan \theta \cdot \cot \theta = 1

3. Pythagoras Identities

\sin^2\theta + \cos^2\theta = 1

1 + \tan^2\theta = \sec^2\theta 

1 + \cot^2\theta = \csc^2\theta

4. Negative Angles

\sin(-\theta) = -\sin \theta, \quad \cos(-\theta) = \cos \theta, \quad \tan(-\theta) = -\tan \theta

5. Complementary Angles

\sin(90^\circ-\theta)=\cos\theta, \quad \cos(90^\circ-\theta)=\sin\theta

\tan(90^\circ-\theta)=\cot\theta, \quad \cot(90^\circ-\theta)=\tan\theta 

\sec(90^\circ-\theta)=\csc\theta, \quad \csc(90^\circ-\theta)=\sec\theta

6. Sum & Difference

\sin(A \pm B) = \sin A \cos B \pm \cos A \sin B

\cos(A \pm B) = \cos A \cos B \mp \sin A \sin B 

\tan(A \pm B) = \frac{\tan A \pm \tan B}{1 \mp \tan A \tan B}

7. Double Angle

\sin 2A = 2 \sin A \cos A

\cos 2A = \cos^2A - \sin^2A = 2\cos^2A - 1 = 1 - 2\sin^2A 

\tan 2A = \frac{2\tan A}{1-\tan^2A}

8. Triple Angle

\sin 3A = 3\sin A - 4\sin^3A

\cos 3A = 4\cos^3A - 3\cos A 

\tan 3A = \frac{3\tan A - \tan^3A}{1 - 3\tan^2A}

9. Half Angle

\sin^2\frac{A}{2} = \frac{1-\cos A}{2}, \quad \cos^2\frac{A}{2} = \frac{1+\cos A}{2}

\tan \frac{A}{2} = \frac{\sin A}{1+\cos A} = \frac{1-\cos A}{\sin A} 

10. Product to Sum

\sin A \sin B = \frac{1}{2}[\cos(A-B)-\cos(A+B)]

\cos A \cos B = \frac{1}{2}[\cos(A-B)+\cos(A+B)] 

\sin A \cos B = \frac{1}{2}[\sin(A+B)+\sin(A-B)]


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🔥 20 Important SSC Questions (with short tricks)

1. If , find .


2. If , find .


3. If , find .


4. If , find .


5. If , find .


6. Prove: .


7. If , find .


8. If , find .


9. If , find .


10. Evaluate: .


11. Evaluate: .


12. Find: .


13. Evaluate: .


14. If , find .


15. Find value: .


16. If , find .


17. Find: .


18. Evaluate: .


19. Find: .


20. If , find .




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👉 क्या आप चाहोगे कि मैं इन 20 SSC important questions के step-by-step short-trick solutions भी अभी दे दूँ?