<span>(1 + cos² 3θ) / (sin² 3θ) = 2 csc² 3θ - 1
Starting with the left: Note that cos²θ + </span><span>sin²θ = 1.
In the same way: </span><span>cos²3θ + <span>sin²3θ = 1
</span></span>Therefore cos²3θ = 1 - <span>sin²3θ
</span> From the top: (1 + cos² 3θ) = 1 + 1 - sin²3θ = 2 - <span>sin²3θ
</span>
(1 + cos² 3θ) / (sin² 3θ) = (<span>2 - sin²3θ) / (sin² 3θ) = 2/</span><span>sin² 3θ - </span><span>sin²3θ/</span>sin²3θ
= 2/<span>sin² 3θ - 1; But 1/</span><span>sinθ = csc</span><span>θ, Similarly </span>1/sin3θ = csc3θ
= 2 *(1/sin<span>3θ)² - 1</span>
= 2csc²3θ - 1. Therefore LHS = RHS. QED.
41 is the answer and me too
Answer:
60 maths books
Step-by-step explanation:
<u>Let the following be:</u>
- Maths books = m
- Science books = s
- History books = h
<u>And we have ratios and sum:</u>
- m/s = 3/2
- s/h = 1/3
- m+s+h = 220
<u>From the ratios we get:</u>
<u>Considering the above in the sum of books:</u>
- m+s+h = 220
- 3s/2 + s + 3s = 220
- 3s + 2s + 6s = 2*220
- 11s = 440
- s = 440/11
- s = 40
<u>Number of maths books:</u>
Answer:
False.
Step-by-step explanation:
Counterclockwise is different from Clockwise.
Answer:
gg
Step-by-step explanation:gg
