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BARSIC [14]
3 years ago
13

I need qestion number d) solution please help me​

Mathematics
1 answer:
natita [175]3 years ago
8 0

Answer:

It is an identity, the proof is in the explanation

Step-by-step explanation:

csc(A)-cot(A)=tan(A/2)

I'm going to start with right hand side

tan(A/2)=(1-cos(a))/(sin(a))                half angle identity

tan(A/2)=1/sin(a)-cos(a)/sin(a)         separate fraction

tan(A/2)=csc(a)-cot(a)                     reciprocal and quotient identities

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Tabitha decided to start saving pennies for a stretch of two months and initially started with 2 pennies. A table showing the nu
svetoff [14.1K]

Answer:

  • after week 7: 4374 pennies
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Step-by-step explanation:

The sequence values have a first term of 6 and a common ratio of 3, so can be described by the formula ...

  an = 6·3^(n-1)

This can be rearranged to ...

  an = 2·3^n

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When n=7, the value is ...

  a7 = 2·3^7 = 4374 . . . . pennies saved after 7 weeks

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To find when there are 486 pennies saved, we can solve the equation ...

  486 = 2·3^n

  243 = 3^n

  log(243) = n·log(3) . . . . . . . take the logarithm

  log(243)/log(3) = n = 5 . . . . divide by the coefficient of n

Tabitha will have saved 486 pennies after 5 weeks.

7 0
3 years ago
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Answer:

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3 years ago
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