Answer:
The value for theta is 16.7 degrees and that of alpha is 73.3 degrees.
Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trig functions
The tangent function is the ratio of the length of the opposite side to that of the adjacent side. It should be noted that the tan can also be represented in terms of sine and cos as their ratio.
To find alpha, we can take the inverse tangent of both sides of the equation:
tan α = 10/3
tan⁻¹(tan α) = tan⁻¹(10/3)
α = tan⁻¹(10/3)
Using a calculator, we get:
α ≈ 73.3 degrees (rounded to one decimal place)
Therefore, the value of alpha is approximately 73.3 degrees.
To find theta, we can take the inverse tangent of both sides of the equation:
tan θ = 3/10
tan⁻¹(tan θ) = tan⁻¹(3/10)
θ = tan⁻¹(3/10)
Using a calculator, we get:
θ ≈ 16.7 degrees (rounded to one decimal place)
Therefore, the value of theta is approximately 16.7 degrees.\
Explanation: