<span><span>(<span>sinx</span>−<span>tanx</span>)</span><span>(<span>cosx</span>−<span>cotx</span>)</span></span>
<span>=<span>(<span>sinx</span>−<span><span>sinx</span><span>cosx</span></span>)</span><span>(<span>cosx</span>−<span><span>cosx</span><span>sinx</span></span>)</span></span>
<span>=<span>sinx</span><span>(1−<span>1<span>cosx</span></span>)</span><span>cosx</span><span>(1−<span>1<span>sinx</span></span>)</span></span>
<span>=<span>sinx</span><span>(<span><span>cosx</span><span>cosx</span></span>−<span>1<span>cosx</span></span>)</span><span>cosx</span><span>(<span><span>sinx</span><span>sinx</span></span>−<span>1<span>sinx</span></span>)</span></span>
<span>=<span><span>sinx</span><span>cosx</span></span><span>(<span>cosx</span>−1)</span><span><span>cosx</span><span>sinx</span></span><span>(<span>sinx</span>−1)</span></span>
<span>=<span>(<span>cosx</span>−1)</span><span>(<span>sinx</span>−1<span>)</span></span></span>
Answer:
<u>161.5 cm²</u>
Step-by-step explanation:
Finding the remaining area :
- Area (rectangle) - Area (2 equal semicircles)
- Area (rectangle) - Area (circle) [Because 2 equal semicircles form a circle of the same radius]
- 24 × 10 - 3.14 x 25
- 240 - 78.5
- <u>161.5 cm²</u>
Answer:
R = 2524 quarts/s
Step-by-step explanation:
Water flows through a pipe at a rate of 8600 cubic meters per hour.
We know that,
1 m³ = 1056.69 quarts
1 hour = 3600 s
Rate of flow of water = 8600 cubic meters per hour

or
R = 2524 quarts/s
So, the rate of flow of water is 2524 quarts/s.