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katrin2010 [14]
3 years ago
10

Helllllllllllllllllllllllllllp please

Mathematics
2 answers:
Stolb23 [73]3 years ago
8 0

Answer:

<em>0° and 18°</em>

Step-by-step explanation:

3tan²β - tanβ = 0

tanβ(3tanβ - 1) = 0

tan β = 0 ⇒ \beta _{1} <em>= 0°</em>

3tan β - 1 = 0 ⇒ tan β = \frac{1}{3} ⇒ \beta _{2} = arctan ( \frac{1}{3} ) ≈<em> 18°</em>

evablogger [386]3 years ago
4 0

Answer:

3 \tan {}^{2} \theta -  \tan\theta= 0 \\  \tan\theta(3 \tan \theta- 1) = 0✓\\\\\tan\theta = 0 \\\boxed{\theta = 0°} ✓\\\\ 3 \tan\theta - 1 = 0 \\3 \tan \theta = 1 \\  \tan \theta =  \frac{1}{3}  \\  \theta =  { \tan }^{ - 1} ( \frac{1}{3} ) \\\boxed{\theta = 18.4°}✓

<h3>★ Value of the ∅ is <u>0° and 18.4°</u>.</h3>
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