Distrubutive property 1. 54+27=9 (_+_)
2 answers:
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Answer:
Step-by-step explanation:
We have total 1200 wildflowers in first year that is first term a is 1200
We have to find sigma notation showing the infinite growth of the wildflowers.
Formula for infinite sum of GP is
Here,
On substituting the values in the formula of sum we get:
On simplification we get:
Therefore, total sum of wildflowers 1600.
Answer:
Step-by-step explanation:
Using the addition formulae for cosine
cos(x ± y) = cosxcosy ∓ sinxsiny
---------------------------------------------------------------
cos(120 + x) = cos120cosx - sin120sinx
= - cos60cosx - sin60sinx
= - cosx -
sinx
squaring to obtain cos² (120 + x)
= cos²x +
sinxcosx +
sin²x
--------------------------------------------------------------------
cos(120 - x) = cos120cosx + sin120sinx
= -cos60cosx + sin60sinx
= - cosx +
sinx
squaring to obtain cos²(120 - x)
= cos²x -
sinxcosx +
sin²x
--------------------------------------------------------------------------
Putting it all together
cos²x + cos²x +
sinxcosx +
sin²x +
cos²x -
sinxcosx +
sin²x
= cos²x + cos²x +
sin²x
= cos²x +
sin²x
= (cos²x + sin²x) =