Question: "Solve the equation 3asin2(θ)cos⁡(θ)3acos2(θ)sin⁡(θ)=tan⁡(θ)"

Lennie Carroll

Answered question

2020-11-12

Solve the equation $\frac{3 a \sin^{2} (θ) \cos (θ)}{3 a \cos^{2} (θ) \sin (θ)} = \tan (θ)$

Gennenzip

Skilled2020-11-13Added 96 answers

\frac{3 a \sin^{2} (θ) \cos (θ)}{3 a \cos^{2} (θ) \sin (θ)}

= \frac{a \sin^{2} (θ) \cos (θ)}{a \cos^{2} (θ) \sin (θ)} [Cancel the common factor 3]

= \frac{\sin^{2} (θ) \cos (θ)}{\cos^{2} (θ) \sin (θ)} [Cancel the common factor a]

= \frac{\sin (θ) \cos (θ)}{\cos^{2} (θ)} [Cancel the common factor sin theta]

= \frac{\sin (θ)}{\cos (θ)} [Cancel the common factor cos theta]

= \tan θ, Use the following identity: \frac{\sin (x)}{\cos (x)} = \tan (x)

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