We are given with the equation
1/sin 18 - 1/sin 54 = 2
We are meant to verify if the equation is true
So,
(sin 54 - sin 18)/ sin 18 sin 54 = 2
sin 54 - sin 18 = 2 sin 18 sin 54
sin 18*3 - sin 18 = 2 sin 18 sin 18*3
Use trigonometric identities to verify the equation.
The identities to use are the double and product of angles.<span />
Answer:
a) Log ( 2 ) = 4t Log ( 83/80 )
b) 4.7 years
Step-by-step explanation:
Attached below is the detailed solution
<u>a) exponential statement in log form for an investment at 15% quarterly </u>
Log ( 2 ) = 4t Log ( 83/80 )
n = 4 , r = 15
<u>b) using change to base to find double time in yr </u>
Double time in yr
t = Log ( 2 ) / 4log ( 83/80 )
= 4.7 years

The square root of 729 is in fact 27, as it is a perfect square, but this is not well known, so we can figure it out like this:
What goes into 729 that are perfect squares? 81 and 9:

Take the square root of 81 (9) and the square root of 9 (3). Move these to the outside of the square root (they will multiply with 3 since 3 is multiplied to the square root in the original problem)

Now, just multiply:
Answer:
180:4 and 816:12
Step-by-step explanation: