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sladkih [1.3K]
3 years ago
9

30 POINTS + BRAINLIEST!

Mathematics
2 answers:
Dvinal [7]3 years ago
8 0

Answer:

Lets go by a step-by-step process.

Step-by-step explanation:

\cos (90-\Theta )=\sin \Theta  

Now,

\cos (90^{\circ}-(x+22)^{\circ})=\cos (2x-7)^{\circ}

Now we have...

 90-(x+22)= (2x-7)

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

68=3x -7

75=3x

x=25^{\circ}

agasfer [191]3 years ago
6 0

We have to find the value of 'x' in \sin (x+22)^{\circ}=\cos (2x-7)^{\circ}

By using the complementary angle formula which states:

\cos (90-\Theta )=\sin \Theta

Now,

\cos (90^{\circ}-(x+22)^{\circ})=\cos (2x-7)^{\circ}

Therefore, we get

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

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

68=3x -7

75=3x

x=25^{\circ}

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