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If cosθ = -4/5 and tanθ = 3/4, find cscθ

If cosθ = -4/5 and tanθ = 3/4, find cscθ
asked 11.9k views
2 votes
If cosθ = -4/5 and tanθ = 3/4, find cscθ

asked
User Marienbad
by
8.2k points

1 Answer

4 votes

Answer:

cscΘ = -
(5)/(3)

Explanation:

Using the trigonometric identities

tan x =
(sinx)/(cosx) and csc x =
(1)/(sinx)

sinΘ = tanΘ × cosΘ

=
(3)/(4) × -
(4)/(5) = -
(3)/(5)

Hence

cscΘ =
(1)/((-3)/(5) ) = -
(5)/(3)

answered
User Emulbreh
by
8.3k points
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