📌 Title: CET Trigonometry Formula Sheet – Complete Revision Notes 🖋️ By: Sarthak Patil


📚 Introduction:  

CET मध्ये Trigonometry वर आधारित 4–6 प्रश्न येतात, जे फार वेळ न घेता सोडवता येतात – फक्त Formulas पक्के असले पाहिजेत!  

ही post तुम्हाला सर्व महत्त्वाच्या Trigonometric identities, values, आणि tricks एका ठिकाणी देणार आहे.


🧮 Basic Trigonometric Ratios:


θ | sin θ | cos θ | tan θ  

-------|--------|--------|--------  

0° | 0 | 1 | 0  

30° | 1/2 | √3/2 | 1/√3  

45° | √2/2 | √2/2 | 1  

60° | √3/2 | 1/2 | √3  

90° | 1 | 0 | ∞  


📐 Reciprocal Identities:

- csc θ = 1 / sin θ  

- sec θ = 1 / cos θ  

- cot θ = 1 / tan θ  


🔁 Pythagorean Identities:

- sin²θ + cos²θ = 1  

- 1 + tan²θ = sec²θ  

- 1 + cot²θ = csc²θ  


🔄 Trigonometric Ratios of (90° − θ):

sin(90°−θ) = cos θ  

cos(90°−θ) = sin θ  

tan(90°−θ) = cot θ  

cot(90°−θ) = tan θ  

sec(90°−θ) = csc θ  

csc(90°−θ) = sec θ  


🔁 Trigonometric Identities:

- sin 2θ = 2 sin θ cos θ  

- cos 2θ = cos²θ − sin²θ  

- tan 2θ = 2 tan θ / (1 − tan²θ)  


📐 Sum and Difference Formulas:

- sin(A ± B) = sin A cos B ± cos A sin B  

- cos(A ± B) = cos A cos B ∓ sin A sin B  

- tan(A ± B) = (tan A ± tan B) / (1 ∓ tan A tan B)  


🔄 Product to Sum Formulas (Advanced):

- sin A sin B = ½[cos(A − B) − cos(A + B)]  

- cos A cos B = ½[cos(A − B) + cos(A + B)]  

- sin A cos B = ½[sin(A + B) + sin(A − B)]  


📝 CET Tips:

- 30°, 45°, 60° values रोज revise करा  

- Identities वापरून simplification चे MCQs सोडवा  

- Shortcut म्हणून "All Silver Tea Cups" चा quadrant trick वापरा


🔚 Conclusion:

Trigonometry चे हे सगळे formula लक्षात ठेवणं CET मध्ये तुमचं काम सोपं करेल आणि time वाचेल.  

Regular revision = Guaranteed marks 💯


Thanks for reading! तुम्हाला PDF किंवा image chart हवं असेल तर खाली comment करा.  

– Sarthak Patil

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