Question

Write all trigonometric indentities .

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Answer 1

Question:

Write all trigonometric identities.

Answer:

1. 1/Sin∅=Cosec∅
2. 1/Cos∅=Sec∅
3. 1/tan∅=cot∅
4. 1/cosec∅=sin∅
5. 1/sec∅=cos∅
6. 1/cot∅=tan∅
7. sin∅/cos∅=tan∅
8. cos∅/sin∅=cot∅
9. sin²∅+cos²∅=1
10. cosec²∅-tan²∅=1
11. sec²∅-cot²∅=1
12. sin(90°-∅)=cos∅
13. cos(90°-∅)=sin∅
14. cosec(90°-∅)=sec∅
15. sec(90°-∅)=cosec∅
16. tan(90°-∅)=cot∅
17. cot(90°-∅)=tan∅

Answer 2

★TRIGONOMETRIC RATIO★

• sin θ = Opposite Side/Hypotenuse.

• cos θ = Adjacent Side/Hypotenuse.

• tan θ = Opposite Side/Adjacent Side.

• sec θ = Hypotenuse/Adjacent Side.

• cosec θ = Hypotenuse/Opposite Side.

• cot θ = Adjacent Side/Opposite Side

TRIGNOMETRIC IDENTITIES

=>sin²θ+ cos²θ = 1

=>1 + tan²θ = sec²θ

=>1 + cot²θ = cosec²θ

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