If x=Tan150. y=Cosec75° and z = 4 sin18° then
a) y<z<x
b) z<x<y
c) x<z<y
d) x<y<z
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Answer:
x<y<z
Step-by-step explanation:
x = Tan 150 = - Tan 30
= - 1/√3
y = cosec 75 = 1/Sin 75
Sin 75 = Sin ( 45 + 30 )
= Sin45 × Cos30 + Cos 45 × Sin 30
= √3 + 1 / 2 √2
therefore y = 2√2/ √3 + 1
= 2.828 / 2.732
= 1.03
Z = 4 Sin 18
= 4 × ( √5 - 1 ) ÷ 4
= √5 - 1
= 1.414
therefore , x<y<z
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