Respuesta :

calculista

we know that

In a right triangle

cos(x)=sin(y)

when

[tex]x+y=90\°[/tex] -------> by complementary angles

therefore

in this problem

[tex](x\°)+(20+x)\°=90\°[/tex]

solve for x

[tex]2x\°=90\°-20\°[/tex]

[tex]x=35\°[/tex]

the answer is

the value of x is

[tex]35\°[/tex]


MrRoyal

The value of x in cos x = sin(20 + x) is 35

The trigonometry equation is given as:

cos x = sin(20 + x)°

Given that:

0° < x < 90°

The above means that:

[tex]x + 20 + x = 90[/tex]

Collect like terms

[tex]x + x = 90 - 20[/tex]

Evaluate the like terms

[tex]2x = 70[/tex]

Divide both sides by 2

[tex]x = 35[/tex]

Hence, the value of x is 35

Read more about trigonometry equation at:

https://brainly.com/question/4515552

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