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Mashcka [7]
3 years ago
12

1. What is the value of x?

Mathematics
1 answer:
Gwar [14]3 years ago
8 0
Part 1)
<span>sin(x+22)°=cos(2x−7)°

we know that
</span>

 the  sine and cosine  are co-functions

So

sin (theta) = cos (90 - theta)------> This implies that  the angles sum to 90°

therefore

( x + 22)  + (2x - 7)  =  90    simplify

3x + 15  = 90     subtract  15 from both sides

3x  =  75      divide both sides by 3

x  = 25

 The answer Part 1) is x=25°

 Part 2) Given cos x=12/13 and sin x =5/13

What is ratio for ​ tanx ​ ?

 we know that

tan x = sinx / cos x

tan x  =   (5/13) / (12/13)   =  (5/13) * (13/12)  =  <span>5/12</span>

the answer Part 2) is 5/12

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