Question

4.
If o is not in 4th quadrant and tan 0= -4/3
then
5 sin 0+10 cos 0 +9 sec 0+16 cos eco +4 cot0 =
​

Answer 1

tan0 = -4/3

if 0 is not in 4 th quadrant

that means its in 2 nd quadrant

in 2 nd quadrant sin and cosec is postive

tan0 = 4/3 = p/b ( taking acute angle with negative x axis )

well its 53 degree sin0 = 4/5,cos0 = 3/5

but still see below

sin0 = p/h = 4/√4^2 + 3^2 = 4/√25 = 4/5

cos0 = √1-16/25 = 3/5

5 ×4/5 -10×3/5 - 9×5/3 +16×5/4 - 4× 3/4

4 - 6 - 15 +20 -3

-20+20

0

Answer 2

Answer:

-3

Step-by-step explanation:

SinO =-4/5 cosO =3/5

=5*-4/5+ 10*3/5+9*5/2 +16*-5/4

=-4+6+15-20

=-3