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Question Number 52082 by ajfour last updated on 03/Jan/19

Commented by ajfour last updated on 03/Jan/19

$$Express\mathit{\alpha }intermsof\mathit{\theta }.$$

Answered by mr W last updated on 03/Jan/19

$$4\alpha +2\beta =\pi ...\left(i\right)$$$$\beta =2\gamma ...\left(ii\right)$$$$\theta =4\alpha +\gamma ...\left(iii\right)$$$$\left(i\right)-2\left(ii\right)+4\left(iii\right):$$$$4\alpha +4\theta =\pi +16\alpha$$$$\Rightarrow \alpha =\frac{\theta }{3}+\frac{\pi }{12}$$

Commented by ajfour last updated on 03/Jan/19

$$Thankyousir!$$

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