Question #1: if cos x = 7/25, and 0 < x < pi/2, what is sin(x - 3pi/2) question #2: if tan x = sqrt(3), and 180(degrees) < x < 270(degrees), what is sin(x - 210degrees)?

Try this solution (note, this is not the only way):

Q1: if sin(x- 3pi/2)=-sin(3pi/2- x)=--cosx=cosx, then sin(x- 3pi/2)=cosx and sin(x- 3pi/2)=7/25.

Q2: if tan(x)=√3 and x∈(180°;270°), then x=arctan√3+180°=60+180=240°.

If x=240°, then sin(x-210°)=sin30°=0.5.

i need a picture

step-by-step explanation:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm