Mathematics, 02.08.2019 07:00 ani61
With these two questions i'm very confused! 1) if cos θ = 0.54, find sin(θ-pi/2). 2) if cot x = -0.18, find tan(x-pi/2).
Answers: 1
![\bf sin\left( \theta -\frac{\pi }{2} \right)\implies sin\left[-\left( \frac{\pi }{2}-\theta \right) \right]\implies -sin\left( \theta -\frac{\pi }{2} \right)\implies -cos(\theta ) \\\\\\ \textit{and since }cos(\theta )=0.54\qquad then\qquad -cos(\theta )\implies -0.54](/tpl/images/0160/8712/bc457.png)
![\bf tan\left( x-\frac{\pi }{2} \right)\implies \cfrac{sin\left( x-\frac{\pi }{2} \right)}{cos\left( x-\frac{\pi }{2} \right)}\implies \cfrac{sin\left[ -\left( \frac{\pi }{2}-x \right) \right]}{cos\left[ -\left( \frac{\pi }{2}-x \right) \right]} \\\\\\ \cfrac{-sin\left( \frac{\pi }{2}-x \right)}{cos\left( \frac{\pi }{2}-x \right)}\implies -tan\left( \frac{\pi }{2}-x \right)\implies -cot(x) \\\\\\ \textit{and since }cot(x)=-0.18\qquad then\qquad -cot(x)\implies 0.18](/tpl/images/0160/8712/2e182.png)
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With these two questions i'm very confused! 1) if cos θ = 0.54, find sin(θ-pi/2). 2) if cot x = -0...
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