Use fundamental identities to find the values of the trigono

Use fundamental identities to find the values of the trigonometric functions (as decimal values within .001) for the given conditions. cos(t) = -0.39 Use fundamental identities to find the values of the trigonometric functions (as decimal values within .001) for the given conditions. cot(t) = 2.49 cos(t)

Solution

2) cos(t) = -0.39 , cot(t) > 0

As cosine function is negative and cot function is positive , t lies in the third quadrant

==> sint = -(1 - cos²t)

==> sint = -(1 - (-0.39)²)

==> sint = -(1 - 0.1521)

==> sint = -0.8479

==> sint = -0.921

cost = -0.39

tant = sint / cost

==> tant = -0.921 / -0.39

==> tant = 2.362

csct = 1/ sint

==> csc t = 1/(-0.921)

==> csc t = -1.086

sect = 1/ cost

==> sec t = 1/(-0.39)

==> sec t = -2.564

cot t = 1/ (tant)

==> cot t = 1/ 2.362

==> cot t = 0.423