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Nataly_w [17]
3 years ago
14

Evaluate tan45/sin30 . In your final answer, include all calculations.

Mathematics
1 answer:
Maslowich3 years ago
8 0
From the identity \displaystyle{ \tan x= \frac{\sin x}{\cos x}, and from the values:

                 \sin45^{\circ}=\cos45^{\circ}= \frac{ \sqrt{2}}{2},

we have: \displaystyle{ \tan 45^{\circ}= \frac{\sin 45^{\circ}}{\cos 45^{\circ}}= \frac{ \frac{ \sqrt{2}}{2}}{\frac{ \sqrt{2}}{2}} =1.


We also know that \sin30^{\circ}= \frac{1}{2}.


Thus, \displaystyle{  \frac{\tan 45^{\circ}}{\sin30^{\circ}} = \frac{1}{\frac{1}{2}}=2.



Answer: 2
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