NIRAMAY SHARMA 1
TRIGONOMETRY IDENTITIES
TRIGONOMETRY IDENTITIES ................................................................................ 1
Sum and Difference Formulas .............................................................................. 1
Double Angle Formulas ....................................................................................... 2
Triple Angle Formulas.......................................................................................... 2
Product-to-Sum Formulas ................................................................................... 2
Sum-to-Product Formulas ................................................................................... 2
Half Angle Formulas ........................................................................................... 3
Sign Identities .................................................................................................... 3
Complementary Angle Identities ........................................................................... 3
Pythagorean Identities:
• sin²θ + cos²θ = 1
• 1 + tan²θ = sec²θ
• 1 + cot²θ = cosec²θ
Reciprocal Identities:
• sin θ = 1/cosec θ
• cos θ = 1/sec θ
• tan θ = 1/cot θ
• cosec θ = 1/sin θ
• sec θ = 1/cos θ
• cot θ = 1/tan θ
Quotient Identities:
• tan θ = sin θ/cos θ
• cot θ = cos θ/sin θ
NIRAMAY SHARMA
TRIGONOMETRY IDENTITIES
TRIGONOMETRY IDENTITIES ................................................................................ 1
Sum and Difference Formulas .............................................................................. 1
Double Angle Formulas ....................................................................................... 2
Triple Angle Formulas.......................................................................................... 2
Product-to-Sum Formulas ................................................................................... 2
Sum-to-Product Formulas ................................................................................... 2
Half Angle Formulas ........................................................................................... 3
Sign Identities .................................................................................................... 3
Complementary Angle Identities ........................................................................... 3
Pythagorean Identities:
• sin²θ + cos²θ = 1
• 1 + tan²θ = sec²θ
• 1 + cot²θ = cosec²θ
Reciprocal Identities:
• sin θ = 1/cosec θ
• cos θ = 1/sec θ
• tan θ = 1/cot θ
• cosec θ = 1/sin θ
• sec θ = 1/cos θ
• cot θ = 1/tan θ
Quotient Identities:
• tan θ = sin θ/cos θ
• cot θ = cos θ/sin θ
NIRAMAY SHARMA
