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vodomira [7]
3 years ago
10

100 POINTS AND BRAINLIEST!! PRE CALC

Mathematics
2 answers:
valkas [14]3 years ago
6 0

Answer:

b

Step-by-step explanation:

sin x = \frac{opposite}{hypotenuse} = \frac{3}{5}

This is a 3- 4- 5 right triangle

with adjacent side = 4 , then

cos x = \frac{adjacent}{hypotenuse} = \frac{4}{5} , thus

tan x = \frac{sinx}{cosx} = \frac{\frac{3}{5} }{\frac{4}{5} } = \frac{3}{5} × \frac{5}{4} = \frac{3}{4}

---------------------------------------------------

sin y = \frac{7}{25}

This is a 7- 24- 25 right triangle

with adjacent side = 24 , then

cos y = \frac{adjacent}{hypotenuse} = \frac{24}{25} , thus

tan y = \frac{siny}{cosy} = \frac{\frac{7}{25} }{\frac{24}{25} } = \frac{7}{25} × \frac{25}{24} = \frac{7}{24}

----------------------------------------------------

tan(x - y) = \frac{tanx-tany}{1+tanxtany}

             = \frac{\frac{3}{4}-\frac{7}{24}  }{1+\frac{3}{4}(\frac{7}{24})  }

             = \frac{\frac{11}{24} }{1+\frac{21}{96} }

             = \frac{\frac{11}{24} }{\frac{117}{96} }

             = \frac{11}{24} × \frac{96}{117}

             = \frac{11}{1} × \frac{4}{117}

             = \frac{44}{117} → b

goblinko [34]3 years ago
5 0

Answer:

B

Step-by-step explanation:

sinx = 3/5

to find the value of x...figure sine inverse(Arcsin) of 3/5 out.

sin^-1 ( 3/5) = 0.64.

siny = 7/25

sin^-1(7/25) = 0.28

x = 0.64

y = 0.28

tan(x-y)

=tan(0.64-0.28)

= tan (0.36)

= tan (9/25)

= 0.376.

now divide every fraction given from a - d to find the one equivalent to 0.376 because that's the value of tan(x-y).

B. 44 / 117 = 0.376.

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