Trigonometric identity: 1 + cot2(θ) = cosec2(θ)
This trigonometric identity is directly derived from sin2(θ) + cos2(θ) = 1. Consider the trigonometric identity sin2(θ) + cos2(θ) = 1. On dividing this equation by sin2(θ), we get the following equation:
- "sin2(θ) / sin2(θ)" is equal to 1
- "cos2(θ) / sin2(θ)" is equal to cot2(θ)
- "1 / sin2(θ)" is equal to cosec2(θ)
1 + cot2(θ) = cosec2(θ)... which is the required identity.
Trigonometric identities applied:
- sin2(θ) + cos2(θ) = 1
- cot(θ) = cos(θ) / sin(θ)
- cosec(θ) = 1 / sin(θ)
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