Answer:1
<h2>1,366</h2>
Step-by-step explanation:
P - parenthsis
E - exponents
M - multiplication
D - division
A - addition
S - subtraction
<h3>STICK TO THE ORDER:</h3>
7 + 5 x (6 x 45) + 9 = 1,336 ( Not the pemdas order)
But,
<h3>7 + (5 x 6)45 + 9 = 1,366 is the correct order for using PEMDAS.</h3>
6(3+4) is the right answer because when you distribute you get 18+24.
Hope this helps!!
Below is the solution, I hope it helps.
<span>i) tan(70) - tan(50) = tan(60 + 10) - tan(60 - 10)
= {tan(60) + tan(10)}/{1 - tan(60)*tan(10)} - {tan(60) - tan(10)}/{1 + tan(10)*tan(60)}
ii) Taking LCM & simplifying with applying tan(60) = √3, the above simplifies to:
= 8*tan(10)/{1 - 3*tan²(10)}
iii) So tan(70) - tan(50) + tan(10) = 8*tan(10)/{1 - 3*tan²(10)} + tan(10)
= [8*tan(10) + tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)}
= [9*tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)}
= 3 [3*tan(10) - tan³(10)]/{1 - 3*tan²(10)}
= 3*tan(30) = 3*(1/√3) = √3 [Proved]
[Since tan(3A) = {3*tan(A) - tan³(A)}/{1 - 3*tan²(A)},
{3*tan(10) - tan³(10)}/{1 - 3*tan²(10)} = tan(3*10) = tan(30)]</span>
The answer is (2,0)
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