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Find the value of Theta in these diagrams (a and b)​

Find The Value Of Theta In These Diagrams A And B class=

Sagot :

a. θ = 36. 9°

b. θ = 114. 2°

How to determine the value of theta

a. We use the cosine identity

cos θ = adjacent/hypotenuse

Adjacent = 4cm

Hypotenuse = 5cm

cos θ = 4/ 5

cos θ = 0. 8

Now, we have the inverse of the cosine value

θ = cos^-1 (0. 8)

θ = 36. 9°

b. We use the tangent identity

tan a = opposite / adjacent

tan a = 3. 8/1. 7

tan a = 2. 23

a = tan^-1 ( 2. 23)

a = 65. 8

We have;

a + θ = 180 °; angles on a straight line

θ = 180 - 65. 9

θ = 114. 2°

Learn more about trigonometric identities here:

https://brainly.com/question/7331447

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