Hello :
sin(x) + cos(x) = √2(1/√2 sin(x) +1/√2 cos(x))
but : 1/√2 = cos(π/4) = sin(<span> π/4)
</span>sin(x) + cos(x) = √2( cos(π/4)sin(x) + sin( π/4) cos(x)) =√2<span>sin(x + π/4)
</span>because : cos(π/4)sin(x) + sin( π/4) cos(x)=sin(x + π/4) by identity :
sin(a+b) = sina cosb +cosa sinb
Answer:
101
Step-by-step explanation:
final cups present-(cups added+cups two guest served)
Answer:
probability for 3 on a dice (P3) in one dice =
probability for even no. of a dice (Pe) =
Therefore, the probability of finding 3 on one dice and even on another (P) = P3 + Pe
Answer:
D and F
Step-by-step explanation:
can be rewritten as 
.
From there you can use the quadratic formula 
(ignore the A, I can‘t seem to remove it), where a=1, b=4, and c=-8.
Then you get 
Then you get 
So 
Which means 
or 
which are choices D and F.
Answer:
Choice C
Step-by-step explanation:
This is like a matching question. Here's what I mean by this. We know Triangle BCA and Triange JKL are congruent. So, what we have to do is match the side lengths together.
So the first side of BCA matches with JKL, the second side of BCA matches with JKL, the third side of BCA matches with JKL.
So first side:
BC is congruent to JK
So second side:
CA is congruent to KL
So third side:
JL is congruent to BA
The third side is one of our answer choices.
That answer choice is C.
