2007-08-24 05:41:44 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
1 / sin t = 4
sin t = 1 / 4 = 0.25
t = 14.5 °
cos t = 0.968
tan t = 0.259
2007-08-24 06:40:25 · answer #1 · answered by Como 7 · 0⤊ 0⤋
O = opposite
A = adjacent
H = hypotenuse
csc(t) = 4
csc(t) = H / O
H / O = 4 / 1
H = 4
O = 1
Pythagorean theorem to find A:
O^2 + A^2 = H^2
1 + A^2 = 16
A^2 = 15
A = sqrt(15)
sin(t) = O / H = 1 / 4
cos(t) = A / H = sqrt(15) / 4
tan(t) = O / A = 1 / sqrt(15)
2007-08-24 12:48:35 · answer #2 · answered by whitesox09 7 · 1⤊ 0⤋
csc t=4,
sint= 1/csct=1/4.
cost=+sqrt[1-sin^2t], cos t is positive for t in the I quadrant.
=+sqrt[1-1/16]
=+ sqrt(15)/4.ANS.
tan t=sint/cost
=+1/sqrt(15) ANS tan t is +for t in the I quadrant.
2007-08-24 13:13:27 · answer #3 · answered by Anonymous · 0⤊ 0⤋