9514 1404 393
Answer:
0.36
Step-by-step explanation:
You use the given identity to find the cosine, then you use the relation ...
Tan = Sin/Cos
to find the tangent.
[tex]\cos^2(\theta)=1-\sin^2(\theta)=1-0.1156 = 0.8844\\\\\tan(\theta)=\dfrac{\sin(\theta)}{\cos(\theta)}=\dfrac{0.34}{\sqrt{0.8844}}\\\\ \boxed{\tan(\theta)\approx 0.36}[/tex]
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You can check this on your calculator by finding tan(sin⁻¹(0.34)) ≈ 0.3615.
