Trigonometric Identity | Relating Reciprocal Ratios | Solved with 2 Strategies

Published: 01 January 1970
on channel: Anil Kumar

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Quotient Identity
tanθ=sinθ/cosθ cotθ=cosθ/sinθ
Reciprocal Identity
cscθ=1/sinθ; secθ=1/cosθ ; cotθ=1/tanθ
Pythagorean
sin^2⁡θ+cos^2⁡θ=1, 1+tan^2⁡θ=sec^2⁡θ, 1+cot^2 θ=csc^2 θ
Re-write expression in terms of sine and cosine
Factor and then simplify
Rationalize using conjugate of expression
Simplify taking common denominator

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