Question
Asked Oct 7, 2019
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Solve the following equation over the indicated interval. A calculator is required. Calculated answers should be to at least 3 sig figs. 

 

2tan t + 1= 0.4 where 0< t<2pi

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Expert Answer

Step 1

Given,

2 tan(t)1 = 0.4 where 0 <t < 2t
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2 tan(t)1 = 0.4 where 0 <t < 2t

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Step 2

Now,

...
2 tan (t)1
0.4
Solving for t, we get
2 tan(t) 0.4 - 1
2 tan(t) 0.6
tan(t)
-0.3
t tan1(0.3)
t -0.29145 or - 0.29145 + t
t -0.29145 or 2.85013
t -0.291 or 2.85
(up to 3 significant figure)
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2 tan (t)1 0.4 Solving for t, we get 2 tan(t) 0.4 - 1 2 tan(t) 0.6 tan(t) -0.3 t tan1(0.3) t -0.29145 or - 0.29145 + t t -0.29145 or 2.85013 t -0.291 or 2.85 (up to 3 significant figure)

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Math

Trigonometry

Trigonometric Ratios