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Mila [183]
3 years ago
8

(d) (1 + cos a) (1 - cos a) /(1 + sin a) (1 - sin a)= tan2 a​

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
5 0

\frac{(1 -  \cos(a))(1 +  \cos(a))  }{(1 -  \sin(a) )(1 +  \sin(a)) }  =  \\

\frac{1 -  {cos}^{2}(a) }{1 -  {sin}^{2}(a) }  =  \\

\frac{ {sin}^{2}(a) }{ {cos}^{2}(a) }  =  \\

{tan}^{2} (a)

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8. Find ab - c if a = 5, b = -12, and c = 60.
Romashka [77]

Answer:

8.) -120

9.) -5

10.) -1

Step-by-step explanation:

8.)  ab - c

     5(-12) - 60

     -60 - 60 = -120

9.)   -10 - (-7) + 2 (3 - 4)

      -3 + 2(-1)

      -3 + (-2) = -5

10.) Add all the numbers up then divide by how many numbers there are.

   

8 0
3 years ago
(07.08)
Black_prince [1.1K]

If the given expression is simplified we get a. -4x² - 3x + 2.

Explanation:

  • The numerator has three terms while the denominator only has one term. We divide the numerator terms each separately with the denominator term.
  • So 8x³ + 6x² - 4x / -2x becomes (8x³ / -2x) + (6x² / -2x) + (- 4x/ -2x).
  • The simplification of the first term; 8 / -2 = -4, x³ / x = x². So the first term is -4x².
  • The simplification of the second term; 6 / -2 = -3, x² / x = x. So the second term is -3x.
  • The simplification of the third term; -4 / -2 = 2, x / x = 1. So the third term is 2.
  • Adding all the terms we get -4x² - 3x + 2. This is the option a.
6 0
4 years ago
You deposit $111 and it increases by 2% per year. How much money do you have after 15 years?
Lera25 [3.4K]

Answer:

2/100=0.02

0.02*15=33.3

111+33.3

144.3

6 0
3 years ago
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