Complex Numbers, Trigonometry, Vectors & Statistics

(-3+2i) - (7-9i) =

• -4+7i

• 10-7i

• 4+11i

• -10+11i

(1+2i)(1-3i) =

• -7+i

• 5-i

• 7-i

• -5-i

The conjugate of -7-5i =

The modulus of -4+3i is

The amplitude of 1+i is

• 45⁰

• 90⁰

• 60⁰

• 30⁰

If ABC is a right-angled triangle with angle B as 90⁰ and angle C as x then Cos x =

• AB/AC

• AC/BC

• BC/AC

• AC/AB

In the right-angled triangle ABC if angle B is right-angled and angle C is x then tan x =

• BC/AB

• AB/BC

• AB/AC

• BC/AC

cos (-x) =

sin (180⁰-x) =

tan² 60⁰ - sin² 30⁰ =

• 11/4

• 1/12

• 9/4

• 5/12