To divide complex numbers in polar form, divide the r parts and subtract the angle parts. Or
<span><span><span><span>r2</span><span>(<span>cos<span>θ2 </span>+ i</span> sin<span>θ2</span>) / </span></span><span><span>r1</span><span>(<span>cos<span>θ1 </span>+ i</span> sin<span>θ1</span>)</span></span></span></span> <span>= <span><span><span>r2/</span><span>r1</span></span></span><span>(cos(<span><span>θ2</span>−<span>θ1) </span></span>+ i sin(<span><span>θ2</span>−θ1)</span><span>)
</span></span></span>
z1/z2
= 3/7 (cos(π/8-π/9) + i sin(π/8 - π/9))
= 3/7 (cos(π/72) + i sin(π/72))
Answer:
30 degrees.
Step-by-step explanation:
The ladder that extends from the floor to the storeroom makes a right triangle. The ramp is the hypotenuse measuring 10 m and the elevation of the storeroom is the opposite side. The angle of elevation is the arcsin of the quotient of the 5/10. Thus, the answer is 30 degrees.
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Answer:
c.300
Step-by-step explanation:
25%-----75 studens
100%-----x students
x=100×75/25= 300
Picture please because I can’t help without a picture or something
Given:
In an isosceles triangle LMN, LM=MN.
To find:
The measure of the angles L, M and N.
Solution:
In triangle LMN,
(Given)
(Base angles of an isosceles triangle are equal)
Now,
On further simplification, we get
The value of x is 13. Using this value, we get
Similarly,
And,
Therefore, the measure of angles are 
.
