give some formulae in trigonometry
class 10thh
Answers
Trigonometry Formulas :
• sinØ = P/H
• cosØ = B/H
• tanØ = P/B
• cosecØ = H/P
• secØ = H/B
• cotØ = B/P
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》 sin²Ø + cos²Ø = 1
› sin²Ø = 1 - cos²Ø
› cos²Ø = 1 - sin²Ø
》 1 + cot²Ø = cosec²Ø
› cot²Ø = cosec²Ø - 1
› cosec²Ø - cot²Ø = 1
》 1 + tan²Ø = sec²Ø
› tan²Ø = sec²Ø - 1
› sec²Ø - tan²Ø = 1
____________________________
• sinØ = 1/cosecØ
coecØ = 1/sinØ
• cosØ = 1/secØ
secØ = 1/cosØ
• tanØ = 1/cotØ
cotØ = 1/tanØ
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At 0°
• sinØ = 0
• cosØ = 1
• tanØ = 0
• cosecØ = Not defined
• secØ = 1
• cotØ = Not defined
At 30°
• sinØ = 1/2
• cosØ = √3/2
• tanØ = 1/√3
• cosecØ = 2
• secØ = 2/√3
• cotØ = √3
At 45°
• sinØ = 1/√2
• cosØ = 1/√2
• tanØ = 1
• cosecØ = √2
• secØ = √2
• cotØ = 1
At 60°
• sinØ = √3/2
• cosØ = 1/2
• tanØ = √3
• cosecØ = 2/√3
• secØ = 2
• cotØ = 1/√3
At 90°
• sinØ = 1
• cosØ = 0
• tanØ = Not defined
• cosecØ = 1
• secØ = Not defined
• cotØ = 0
_____________________________
Step-by-step explanation:
Trigonometry Formulas :
• sinØ = P/H
• cosØ = B/H
• tanØ = P/B
• cosecØ = H/P
• secØ = H/B
• cotØ = B/P
____________________________
》 sin²Ø + cos²Ø = 1
› sin²Ø = 1 - cos²Ø
› cos²Ø = 1 - sin²Ø
》 1 + cot²Ø = cosec²Ø
› cot²Ø = cosec²Ø - 1
› cosec²Ø - cot²Ø = 1
》 1 + tan²Ø = sec²Ø
› tan²Ø = sec²Ø - 1
› sec²Ø - tan²Ø = 1
____________________________
• sinØ = 1/cosecØ
coecØ = 1/sinØ
• cosØ = 1/secØ
secØ = 1/cosØ
• tanØ = 1/cotØ
cotØ = 1/tanØ
____________________________
At 0°
• sinØ = 0
• cosØ = 1
• tanØ = 0
• cosecØ = Not defined
• secØ = 1
• cotØ = Not defined
At 30°
• sinØ = 1/2
• cosØ = √3/2
• tanØ = 1/√3
• cosecØ = 2
• secØ = 2/√3
• cotØ = √3
At 45°
• sinØ = 1/√2
• cosØ = 1/√2
• tanØ = 1
• cosecØ = √2
• secØ = √2
• cotØ = 1
At 60°
• sinØ = √3/2
• cosØ = 1/2
• tanØ = √3
• cosecØ = 2/√3
• secØ = 2
• cotØ = 1/√3
At 90°
• sinØ = 1
• cosØ = 0
• tanØ = Not defined
• cosecØ = 1
• secØ = Not defined
• cotØ = 0
_____________________________