Class 10: Learn Trigonometry Value Table (sin, cos, tan 0-90°) in 2 mins. Easy memory trick for boards. No ratta, full marks! Free chart included.
Trigonometry Value Table Tricks — 0°, 30°, 45°, 60°, 90° ko Sirf 2 Minutes Mein
Hello Students! Welcome back to Aarsh Institute – Trigonometry Master Series (Part-2)
Agar aapne hamara previous blog “Trigonometric Identities — Class 10 ka Darr Ab Khatam” read nahi kiya, toh pehle woh zaroor padhna — kyunki hum is puri series ko step-by-step easy learning flow me cover kar rahe hain.
Previous Blog Link: “Trigonometric Identities — Class 10 ka Darr Ab Khatam”
Today’s Goal
Aaj hum learn karne wale hain Trigonometry Value Table ke Sin, Cos, aur tan values for:
- 0°, 30°, 45°, 60°, 90°
No Ratta-fication , No Confusion , Only Logic + Trick , Class 10 Board Perfect
And the best part — sirf 2 minutes me yaad ho jayega!
Step 1: Sin θ Values Trick (The ‘0-1-2-3-4’ Rule)
Sabse important line Sin θ ki hai. Iske liye bas ek “Master Formula” yaad rakho:
Root Number/2
Ab, angles (0°, 30°, 45°, 60°, 90°) ke liye ‘Number’ ki jagah bas 0, 1, 2, 3, 4 line se likh do.
- Angle = 0°: Number = 0 = Root 0/2 = 0
- Angle = 30°: Number = 1 = Root 1/2 = 1/2
- Angle = 45°: Number = 2 = Root 2/2 (Iske liye neeche Note dekho)
- Angle = 60°: Number = 3 = Root 3/2
- Angle = 90°: Number = 4 = Root 4/2 = 2/2 = 1
Dekha! Sirf 0, 1, 2, 3, 4 se poori Sin θ line ban gayi.
Final Sin θ Table:
| θ | 0° | 30° | 45° | 60° | 90° |
| Sin 0 | 0 | 1/2 | Root 2/2 | Root 3/2 | 1 |
Exam Note (Important!):
Aapki textbook me Sin 45Degree = 1/Root 2 likha ho sakta hai. Ghabrana nahi!
Root 2/2 aur 1/Root 2 dono bilkul same hain!
Proof (Rationalization): 1/Root2 Multiply Root2/Root2 = Root2/2
Aap exam me dono me se koi bhi value likh sakte hain, full marks milenge!
Step 2: Cos θ Values Trick
Yeh sabse easy step hai.
Cos θ ki values ke liye, basSin 0 ki line ko reverse (ulta) order me likh do.
| θ | 0° | 30° | 45° | 60° | 90° |
| Cos θ | 1 | Root 3/2 | Root 2/2 | 1/2 | 0 |
Shortcut punchline: Sin left se = Right (0 se 1 ) aur Cos right se = left (1 se 0)
Step 3: tan θ Values Trick
Iske liye bas ek basic formula yaad rakho:
tanθ = sinθ/cosθ
Bas sin ki value ko cos ki valuse se divide karte jao:
- tan 0Degree = sin0/cos0 = 0/1 = 0
- tan 30Degree = 1/2/Root3/2 = 1/Root3
- tan 45Degree = Root2/2/Root2/2 = 1 (Same cheez divide hoke 1)
- tan 60Degree = Root3/2/1/2 = Root3
- tan 90Degree = sin90/cos90 = 1/0 = Not Defined
Why Not Defined? Kyunki Maths me hum kabhi bhi zero (0) se divide nahi kar sakte. Isliye $\tan 90^\circ$ Not Defined (ya Infinite) hota hai.
Bonus Memory Hacks
Hack 1: The Trend
- sinθ hamesha 0 se 1 tak Increase (badhta) hai.
- cosθ hamesha 1 se 0 tak Decrease (ghat’ta) hai.
Hack 2: The Left-Hand Trick Kya aap jaante hain aapka left hand (panja) poori trigonometry table hai? Agar aap yeh amazing visual trick bhi seekhna chahte hain, toh comment me “HAND TRICK” zaroor likhna!
Free PDF Notes
Aapke liye “Trigonometry Value Cheat-Sheet Mini PDF” bilkul ready hai! Yeh aapke last-minute revision ke liye perfect hai (1-Page Revision Sheet) Isko print karke apni study table par zaroor laga lena!
[Click Here to Download Free PDF]
Read here → www.aarshinstitute.com
Comment Box Task
Agar aapko trick samajh aa gayi hai, toh comment me in 3 ka answer likho:
- sin 45Degree = ?
- cos 60Degree = ?
- tan 30Degree = ?
Main personally check karke reply karunga
Now It’s Your Turn
- Download Formulas & Notes (PDF) 👉 CLICK HERE
- Chat with Mentor on WhatsApp 👉 CHAT WITH US
- Next Blog “Complimentary Angles, Special Angles & Trigonometric Use Cases” Don’t miss it!
Conclusion
Agar aapne yeh 3 steps samajh liye,Toh Trigonometry Value Table ab aapki permanent memory me save ho chuki hai Boards me isse related 1-3 marks ke questions guaranteed milte hain! So now just say…#TrigonometryFearFinished
