Question

Write a⇀ with magnitude 10 and direction 42° in component form. Round to the nearest tenth.

Answer 1

Given : magnitude 10 and direction 42°

To Find : write in component form

Solution:

component form = x + iy

r∠α  = rcosα + irsinα

x = rcosα

y = rsinα

r² = x² + y²

r = 10

α = 42°

=> x = 10 cos 42° = 7.43 =  7.4

=> y = 10 sin 42° =  6.69  = 6.7

component form. 7.4 +  6.7 i

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Answer 2

COMPONEMT FORM = x + iy

r angle a = rcosa + irsina

x = rcosa

y = rsina

r² = x² + y²

r = 10

a = 42°

x = 10 cos 42 ° = 7.43 = 7.4

y = 10 sin 42 ° = 6.69 = 6.7

COMPONENTS FORM = 7.4 and 6.7