Find X if it is the measure of an acute angle in a right triangle and...

sin x = 0.5015
cos x = 0.0670
tan x = 0.7846
tan x = 9.254

Respuesta :

The value of the given functions as listed are 30.09 degrees, 86.16 degrees, 38.12 degrees, and 83.83degrees

Given the following expression

sin x = 0.5015

Taking the inverse of both sides

sin⁻¹(sinx) = sin⁻¹0.5015

x = sin⁻¹0.5015

x = 30.09 degrees

For the cos function

cos⁻¹(cosx) = cos⁻¹0.5015

x = cos⁻¹0.0670

x = 86.16 degrees

For the tan function

tan⁻¹(tanx) = tan⁻¹0.5015

x = tan⁻¹0.5015

x =38.12 degrees

For the tan function

tan⁻¹(tanx) = tan⁻¹9.254

x = tan⁻¹9.254

x =  83.83degrees

Hence the value of the given functions as listed are 30.09 degrees, 86.16 degrees, 38.12 degrees, and 83.83degrees

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