Use the fundamental identities to find the value of the trigonometric function Find csc⁡θ, given that sin⁡θ=−23 and θ is in quadrant 4.

Question

Use the fundamental identities to find the value of the trigonometric function  Find csc⁡θ, given that sin⁡θ=−23 and θ is in quadrant 4.

Willie · Accepted Answer

Given,  sin⁡θ=−23  and  θ is in quadrant 4.  We have to find the value of csc using the fundamental identities of trigonometry.  Concept used:  1. csc⁡θ=1sin⁡θ  2. csc⁡θ is positive in 4 quadrant.  Calculation  ∵sin⁡θ=−23  ∴csc⁡θ=1sin⁡θ=1−23=−123  But csc⁡θ is positive in 4 quadrant.  ⇒csc⁡θ=123

Jeffrey Jordon · Accepted Answer

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Use the fundamental identities to find the value of the trigonometric function Find csc⁡θ, given...

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