If cos Θ = negative 4 over 7, what are the values of sin Θ and tan Θ?

given cos theta is equal to - 4/ 7 then we can conclude that theta is in the second and third quadrants. In this case, the other leg is equal to square root of (7^2 - 4^2 ) equal to square root of 33. In this case, sin theta can be equal to +- square root of 33 / 7 and tan theta is equal to +-square root of 33 / 4.

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abidemiokin abidemiokin · Answer 2 · 2022-05-11T10:31:19+02:00

The values of sin theta and tan theta are √45/7 and √45/4 respectively

Trigonometry identity

Given the following trigonometry identity

cos Θ = -4/7

This shows that

Adjacent = 4

Hypotenuse = 7

Determine the opposite

x^2 = 7^2 - 4^2
x^2 = 49 - 4
x^2 = 45
x = √45

Determine the value of sin Θ

sin Θ = opp/hyp

sin Θ = √45/7

Determine the value of tanΘ
tanΘ = opp/adj

tanΘ = √45/4

Hene the values of sin theta and tan theta are √45/7 and √45/4 respectively

learn more on triginometry here: https://brainly.com/question/24349828

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