Range of trig function

3 Answers

262
Aditya Bhutra ·

any range for gamma ??

i think it should be d)

1
Abhinav Gupta ·

there is nothing about gamma.

Also answer is(b)

1
rishabh ·

i think it should include gamma too,
\begin{align*} &0<\alpha<\beta<\gamma<pi/2 \\ & \implies sin(\alpha)<sin(\beta)\\ & \textup{and also } sin(\alpha)<sin(\gamma)\\\ & \implies sin(\alpha)+sin(\beta)+sin(\gamma)> 3sin(\alpha) \\ & \cos(\alpha)+....<3cos(\alpha)\\ & \implies \frac{\Sigma sin(\alpha)}{\Sigma cos(\alpha)}>tan(\alpha) \\ &= \textup{similarly upper bound.} \end{align*}

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