Math, asked by Anonymous, 3 months ago

Class 10

Mathematics

Chapter 8 - Introduction to Trigonometry

Formulas Needed

Quality Answer Needed .​

Answers

Answered by NikitaNikita29
105

Answer:

Hey Here is formulae of Trigonometry chapter

Step-by-step explanation:

Hope it's helpful for you

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Answered by TheMoonlìghtPhoenix
133

Answer:

Step-by-step explanation:

The formulas required for Trigonometry are :-

\sf{ sin \theta = \dfrac{Height}{Hypotenuse}}

\sf{ cos \theta = \dfrac{Base}{Hypotenuse}}

\sf{ tan \theta = \dfrac{Height}{Base}}

\sf{ cot \theta = \dfrac{Base}{Height}}

\sf{ sec \theta = \dfrac{Hypotenuse}{Base}}

\sf{ cosec \theta = \dfrac{Hypotenuse}{Height}}

From this, we can derive relations as:-

\sf{ sin \theta = \dfrac{1}{Cosec \theta}}

\sf{ cos \theta = \dfrac{1}{Sec \theta}}

\sf{ Tan \theta = \dfrac{1}{ Cot \theta}}

\sf{ cot \theta = \dfrac{1}{tan \theta}}

\sf{ sec \theta = \dfrac{1}{cos \theta}}

\sf{ cosec \theta = \dfrac{1}{Sin \theta}}

Squaring Identities :-

\sf{ sin^2 \theta = 1 - cos^2 \theta}

\sf{ tan^2 \theta = sec^2 \theta - 1}

\sf{ cot^2 \theta = cosec^2 \theta - 1}

External formulas:-

\sf{ tan \theta = \dfrac{sin \theta}{cos \theta}}

\sf{ cot \theta = \dfrac{cos \theta}{sin \theta}}


TheMoonlìghtPhoenix: In squaring identities, you can re-arrange the pattern to get simpler formulas as well.
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