Find the exact values of the remaining trigonometric functions of 𝜃 satisfying the given conditions

Question

cos𝜃= 24/25 tan𝜃<0

Answer 1

cosx = 24/25

tanx<0 means either quadrant II or IV

cosx>0 means quadrant I or IV

x is in quadrant IV

sinx =-7/25

cscx = -25/7

secx =1/cosx = 25/24

tanx = sinx/cosx = -7/24

cotx = 1/tanx = -24/7

7^2 +24^2 =25^2