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Reciprocal Identities in Trigonometry

Created by VictoriousBlessing

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4 Questions

$rac{1}{ an heta}$

$ an heta$

$rac{1}{ ext{Reciprocal of} heta}$

$sec heta$

sin⁡θ\sin \thetasinθ is the reciprocal of csc⁡θ\csc \thetacscθ, meaning sin⁡θ=1csc⁡θ\sin \theta = \frac{1}{\csc \theta}sinθ=cscθ1
csc⁡θ\csc \thetacscθ is the reciprocal of sin⁡θ\sin \thetasinθ, meaning csc⁡θ=1sin⁡θ\csc \theta = \frac{1}{\sin \theta}cscθ=sinθ1
cos⁡θ\cos \thetacosθ is the reciprocal of sec⁡θ\sec \thetasecθ, meaning cos⁡θ=1sec⁡θ\cos \theta = \frac{1}{\sec \theta}cosθ=secθ1
sec⁡θ\sec \thetasecθ is the reciprocal of cos⁡θ\cos \thetacosθ, meaning sec⁡θ=1cos⁡θ\sec \theta = \frac{1}{\cos \theta}secθ=cosθ1
tan⁡θ\tan \thetatanθ is the reciprocal of cot⁡θ\cot \thetacotθ, meaning tan⁡θ=1cot⁡θ\tan \theta = \frac{1}{\cot \theta}tanθ=cotθ1
cot⁡θ\cot \thetacotθ is the reciprocal of tan⁡θ\tan \thetatanθ, meaning cot⁡θ=1tan⁡θ\cot \theta = \frac{1}{\tan \theta}cotθ=tanθ1

Test your knowledge of reciprocal identities in trigonometry, including sine, cosine, tangent, cosecant, secant, and cotangent.