Answer:
All trigonometric Ratios are 
, 
, 
And 
.
Step-by-step explanation:
Given that,
A right angle triangle ΔABC, ∠C =90°.
Diagram of the given scenario shown below,
In triangle ΔABC :-
So, 
Now, for ∠A the dimensions of trigonometric ratios will be changed.
Here the base for ∠A is AC , perpendicular side is CB and hypotenuse will be same for all ratios.
Again, 
Then,
And .
Hence,
All trigonometric Ratios are , ,
And .
Answer:
it's 55
Step-by-step explanation:
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here we have given that number of bees visit a plant id 500 times the number of years that the plant is alive.
we know that t is the number of years that plant is alive.
we know that 
is expression representing the number of bees that will visit the plant in its life time.
Answer:
(4+7i)-2i(2+3i) = 10+3i
Step-by-step explanation:
We need to find the expression that is equivalent to the complex number 10+3i.
Option 1. 2i(4-5i)+(1-7i)
=8i-10i²+1-7i
∵ i² = -1
=8i-10(-1)+1-7i
=8i+10+1-7i
=11+i (incorrect)
Option 2. (4+7i)-2i(2+3i)
=4+7i-4i-6i²
=4+7i-4i-6(-1)
=4+7i-4i+6
=10+3i (Correct)
Option 3. (-3+5i)-3i(4+5i)
= (-3+5i)-12i-15i²
= -3+5i-12i-15(-1)
= -3+5i-12i+15
=12-7i (incorrect)
Option 4. 3i(4+7i)+(11+2i)
= 12i+21i²+11+2i
=12i+21(-1)+11+2i
= 12i-21+11+2i
=14i-10 (incorrect)
Hence, the correct option is (B).
