Answer:
θ = -33.69°
Step-by-step explanation:
For Φ>0 and Φ<0 (in general Φ≠nπ where n is an integer), sin(Φ) ≠ 0
Dividing both equations:
Therefore:
arctan(θ) = -2/3
θ = -33.69°
The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)
Have a nice day!
Answer:
<h2>x = 3.1</h2>Step-by-step explanation:
<h3><u>To solve first take logarithm to both sides</u>
That's
<h3>But
<h3>So we have
<u>Write 1200 as a number with the factor 100</u>
That's
1200 = 100 × 12
So we have
<h3><u>Using the rules of logarithms</u>
That's
<h3>Rewrite the expression
That's
<h3>x = 3.079
So we have the final answer as
<h3>x = 3.1 to one decimal place</h3>Hope this helps you