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lianna [129]
3 years ago
9

Please help immediately for brainliestplease do the number 2​

Mathematics
2 answers:
vazorg [7]3 years ago
8 0

Answer:

63.57817848

Step-by-step explanation:

all will be in degrees:

cos 40 sinx - sin 40 cos x = sin(x - 40) by the formula sin(A − B) = sinA cosB − cosA sinB

sin(x - 40) = 2/5

x - 40 = arcsin(2/5)

x - 40 = 23.57817848

x = 63.57817848 degrees

Alexxandr [17]3 years ago
3 0

Answer:

x =  63.57817848

x = 196.4218215

Step-by-step explanation:

cos 40 sin x - sin 40 cos x = 2/5

sin x cos 40 - cos x sin 40 = 2/5

Using trig identities   sin(α – β) = sin(α) cos(β) – cos(α) sin(β)

sin ( x - 40) = 2/5

Rewriting as m = x-40

sin ( m) = 2/5

Taking the inverse sin of each side

sin ^-1 sin m = sin ^-1 (2/5)

m = 23.57817848

m = 180 -23.57817848  = 156.4218215

now find x

x -40 = m

x = m+40

x = 23.57817848 +40 = 63.57817848

x = 156.4218215 + 40 = 196.4218215

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