Mathematics, 02.08.2019 07:00 redrocker
Use a pythagorean identity to rewrite the equation below using only the function sin θ. then find the value of r if θ=30°,60°, and 90°. r=4*sinθ*cos^2θ explain/show steps, !
Answers: 1
![\bf sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)\\\\ -------------------------------\\\\ r=4sin(\theta )cos^2(\theta )\implies r=4sin(\theta )[1-sin^2(\theta )] \\\\\\ r=4sin(\theta )-4sin^3(\theta )\qquad \qquad \begin{cases} r=4sin(30^o)-4sin^3(30^o)\\ r=4sin(60^o)-4sin^3(60^o)\\ r=4sin(90^o)-4sin^3(90^o) \end{cases}](/tpl/images/0160/8980/565d9.png)
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Use a pythagorean identity to rewrite the equation below using only the function sin θ. then find th...
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