Math, asked by koleynirupam321, 10 months ago

cosA +√3sinA =2 then what is the value of A​

Answers

Answered by ahervandan39
2

Answer:

√3sina + cosa = 0

2{ √3/2 sina + 1/2 cosa } = 0

2{ sin60°.sina + cos60°.cosa } = 0

use, cosA.cosB +sinA.sinB = cos(A-B)

2cos(a - 60°) = 0

cos(a - π/3) = 0 [ 60° = π/3 in radian ]

a - π/3 = (2n +1)π/2

a = π/3 + (2n + 1)π/2

a = nπ + 5π/6 = (6n +5)π/6

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