1 Answer

Kaye · Answer 1 · 2023-06-10T07:57:02+0000

Given,

The equation is,

$sin\theta=(3√(10))/(10)$

Required

The value of tan theta.

The value of cos theta is,

$\begin{gathered} cos\theta=\sqrt{1-((3√(10))/(10)})^2 \\ =\sqrt{1-(90)/(100)} \\ =\sqrt{(10)/(100)} \\ =-(√(10))/(10) \end{gathered}$

The value of tan theta is,

$\begin{gathered} tan\theta=(sin\theta)/(cos\theta) \\ =(3√(10))/(10)*(-10)/(√(10)) \\ =-3 \end{gathered}$

Hence, the value of tan theta is -3.

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