If c=17

Question

in. and b = 15
in., find the length of a
, sinϕ
, cosϕ
, and tanϕ
.

Answer 1

To find the length of segment a, we can use the Pythagorean theorem:

a^2 = c^2 - b^2
a^2 = 17^2 - 15^2
a^2 = 289 - 225
a^2 = 64
a = √64
a = 8 in.

To find sinϕ, we can use the definition of sine:

sinϕ = b/c
sinϕ = 15/17

To find cosϕ, we can use the definition of cosine:

cosϕ = a/c
cosϕ = 8/17

To find tanϕ, we can use the definition of tangent:

tanϕ = b/a
tanϕ = 15/8