Mathematics
19.01.2020 05:12
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Simplify the following, tan -x cos -x

Simplify the following, tan -x cos -x
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applereams
applereams
5,0(4 marks)
Tan(A)=sin(A) / cos(A)
so
tan(A)*cos(A)=sin(A)/cos(A)*cos(A)
=sin(A)  [ by cancelling cos(A) ]

substitute -x for A, then
tan(-x)cos(-x) = sin(-x)  
[ provided cos(-x) does not equal zero, i.e. x does not equal (k+1/2)pi where k is an integer ]
20LindleyN
20LindleyN
4,8(32 marks)

y =  10000 * 0.959^t

Step-by-step explanation:

Given

a = 10000

r = 4.1\%

Required

Express as an exponential function y =ab^t

First, we calculate the value of b;

Since the population decrease, then

b = 1 - r --- This represents decrement of decay factor

Substitute r = 4.1\%

b = 1- 4.1\%

b = 0.959

So:

y =ab^t becomes

y =  10000 * 0.959^t

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