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3 years ago

What is the value of x? If sin (8x - 18)º = cos (5x + 4)°

Mathematics

1 answer:

kobusy [5.1K]3 years ago

3 0

Answer:

Answer x = 8

Step-by-step explanation:

(5x + 4) + (8x - 18)= 90 The two angles must be complementary for this to work. Remove the brackets

5x + 4 + 8x - 18 = 90 Collect like terms

13x - 14 = 90 Add 14 to both sides

13x = 104 Divide by 13

x = 8 Answer

Check

Sin(8*8 - 18) = sin(64 - 18) = sin(46) = 0.7193

Cos(5*8 + 4) = cos(44) = 0.7193

This problem is very interesting. Thanks for posting.

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