Question

3. If tan x is equal to 3/4 and x
lies third quadrant and then
find the value of secx​

Answer 1

Answer:

sec x = -5/4

Step-by-step explanation:

tan x = 3/4 = perpendicular/base

BY PYTHAGORAS THEOREM :

H^2 = P^2 + B^2

H^2 = (3x) ^2 + (4x)^2

H^2 = 25

H = 5

sec x = hypotenuse/base

sec x = 5 / 4

SINCE , x lies in third quadrant ,. tan x is positive but sec x will be negative

so, sec x = -5/4 (answer)

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