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📐 त्रिकोणमिति : महत्वपूर्ण सूत्र 📐

🔴 योग सूत्र
➭ Sin(A+B) = SinACosB+CosASinB
➭ Sin(A-B) = SinACosB-CosASinB
➭ Cos(A+B) = CosACosB-SinASinB
➭ Cos(A-B) = CosACosB+SinASinB

🔴 अन्तर सूत्र
➭ tan(A+B) = tanA+tanB/1-tanAtanB
➭ tan(A-B) = tanA-tanB/1+tanAtanB

🔴 C-D सूत्र
➭ SinC+SinD = 2Sin(C+D/2) Cos(C-D/2)
➭ SinC-SinD = 2Cos(C+D/2) Sin(C-D/2)
➭ CosC+CosD = 2Cos(C+D/2) Cos(C-D/2)
➭ CosC-CosD = 2Sin(C+D/2) Sin(D-C/2)
➭ CosC-CosD = -2Sin(C+D/2) Sin(C-D/2)

🔴 रूपांतरण सूत्र
➛ 2SinACosB = Sin(A+B)+Sin(A-B)
➛ 2CosASinB = Sin(A+B)-Sin(A-B)
➛ 2CosACosB = Cos(A+B)+Cos(A-B)
➛ 2SinASinB = Cos(A-B)-Cos(A+B)

🔴 द्विक कोण सूत्र
➛ Sin2A = 2SinACosA
➛ Cos2A = Cos²A-Sin²A = 2Cos²-1 = 1-2Sin²A
➛ tan2A = 2tanA/1-tan²A
➛ Sin2A = 2tanA/1+tan²A
➛ Cos2A = 1-tan²A/1+tan²A

🔴विशिष्ट सूत्र
➛ Sin(A+B)Sin(A-B) = Sin²A-Sin²B
= Cos²B-Cos²A
➛ Cos(A+B)Cos(A-B) = Cos²A-Sin²B = Cos²B-Sin²A

🔴 त्रिक कोण सूत्र
➛ Sin3A = 3SinA-4Sin³A
➛ Cos3A = 4Cos³A-3CosA
➛ tan3A = 3tanA-tan³A/1-3tan²A

🔴 महत्वपूर्ण सर्वसमिकाएं
➛ Sin²θ+Cos²θ = 1
➭ Sin²θ = 1-Cos²θ
➭ Cos²θ = 1-Sin²θ
➛ 1+tan²θ = Sec²θ
➭ Sec²θ-tan²θ = 1
➭ tan²θ = Sec²θ-1
➛ 1+Cot²θ = Cosec²θ
➭ Cosec²θ-Cot²θ = 1
➭ Cot²θ = Cosec²θ-1

Vocab👉@vocab01

Gk tricks👉@Gktricks01

Idioms 👉@keeplearning01

PDF👉https://t.me/joinchat/RUiAPKrNn6A5B5Vq

Study - M 👉@Studyzone01

Maths👉@mathstricks01

Grammar👉@Grammarrules

English learning--@Englishlearning08

Math quiz--@mathsquiz01

Banking Exam - @bankexam001

Teaching Exam - @Teachingexam001

Railways Exam - https://t.me/joinchat/jsIdIJM8BnpkY2Q1

General knowledge and current Affairs-
@Generalknowledge01

Purvi's quotes - @Peacelovinggirlquotes

Ssc exam -- @sscexam001

Mishraebooks - https://mishraebook.stores.instamojo.com/

Number puzzle - @Numberpuzzle01

EWM (YouTube Channel) - https://www.youtube.com/channel/UCM3WJju8KHjF0X2D71_Fq9w

https://t.me/joinchat/WFAdtgzm4OM86JbT


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Purvi Mishra 😊🙏✌️

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╭───────────────────╮
⚡️ Daily Current Affairs : 29-09-2021 ⚡️
╰───────────────────╯

1. For how long has the Delhi Pollution Control Committee banned the sale of firecrackers and fireworks in the National Capital Region?
Ans : By January 01, 2022

2. Which state Congress party president Navjot Singh Sidhu has resigned from his post?
Ans : Punjab

3. The footballer of England's world winning team has passed away at the age of 83, what was his name?
Ans : Roger Hunt

4. Which board has been announced by the Central Government and the Ministry of Defense to be dissolved from October 01?
Ans : Ordnance Factory Board (OFB)

5. National Commission for Women has launched a program for training for women in which field?
Ans : Dairy Farming

6. C.K. Ranganathan has been appointed as the President of which association?
Ans : All India Management Association

7. Today (September 29) is being celebrated as which day all over the world?
Ans : World Heart Day

8. How many new cases of corona have been reported in the country in the last 24 hours?
Ans : 18,870 Cases (378 Deaths)

9. For how long has the Haryana state government extended the ban on gutkha, pan masala in the state?
Ans : September 2022

10. Which tennis doubles title has been won by Sania Mirza and her Chinese partner Zhang Shuai?
Ans : Ostrava Open Women's Doubles Title