Question

The distance between the points (a cos 20° + b sin
20°, 0) and (0, a sin 20°-b cos 20) is:
(1)(a + b)
(2) (a - b)
(3) ✓a² - ✓b2
(4) √a² +✓b²​

Answer 1

Answer:

4 is correct answer

.........

Answer 2

Answer:

Breanlist answer

Step-by-step explanation:

Given points are (acos20 0 +bsin20 0 ,0) and(0,asin20 0 −bcos20 0 )

Distance = (acos20 0+bsin20 0 −0) 2 +(0−asin20 0 −bcos20 0 ) 2

= a 2 cos 2 20 0 +b 2 sin 2 20 0 +2absin20 0 cos20 0 +a 2 sin 2 20 0 +b 2 cos 2 20 0 −2absin20 0 cos20 0

= a 2 [cos 2 20 0 +sin 2 20 0 ]+b 2 [cos 2 20 0 +sin 2 20 0 ]

= √a^2 +b^2

$\sqrt{a {}^{2} + {b}^{2} }$