Sin(2θ)+sin(<span>θ)=0
use double angle formula: sin(2</span>θ)=2sin(θ)cos(<span>θ).
=>
2sin(</span>θ)cos(θ)+sin(<span>θ)=0
factor out sin(</span><span>θ)
sin(</span>θ)(2cos(<span>θ)+1)=0
by the zero product property,
sin(</span>θ)=0 ...........(a) or
(2cos(<span>θ)+1)=0.....(b)
Solution to (a): </span>θ=k(π<span>)
solution to (b): </span>θ=(2k+1)(π)+/-(π<span>)/3
for k=integer
For [0,2</span>π<span>), this translates to:
{0, 2</span>π/3,π,4π/3}
Answer:
Area of trapezium = 1/2 * h (a+b)
here, 480= 1/2 *15*(20+b)
(20+b)=960/15
or, b=64-20
therefore, b= 44
.....
Hope u got it...xd
1. 17
2. 34
3. 62
5. 82
6. 10
7. 18
8. 19
9. 91
The answer is B. Just multiply all of them then divide
