Respuesta :

mathstudent55
First find the hypotenuse.

a^2 + b^2 = c^2

5^2 + 7^2 = c^2

c^2 = 25 + 49

c = sqrt(74)

sin(theta) = opp/hyp

sin(theta) = 7/(sqrt(74))

If the theta is the angle between the 5-inch leg and hypotenuse then the value of 7/√74.

Trigonometric values?

The study of standard angles for a particular triangle with regard to trigonometric ratios is the core of trigonometry values. Triangles are referred to as trigons, and measurements are referred to as metrons. The explanation of the relationship between a triangle's angles and sides is one of the key ideas in geometry.

How to find the value of sinθ?

Let the right triangle ΔABC.

where AB= 5 cm , AC= 7 cm and BC=x.

If theta is the angle between the 5-inch leg and hypotenuse.

then by Pythagoras's theorem  

x²=5²+7²

   = 25+49

   = 74

x=√74

We know sinθ= opposite side/hypotenuse

Substitute the values

sinθ= 7/√74

hence the value of sinθ is 7/√74.

Learn more about trigonometric values here: https://brainly.com/question/24349828

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