Question

cos 60 cos 30 minus sin 60 sin 30 by 1+tan 60 tan 30

Answer 1

cos 60° cos 30° - sin 60° sin 30°/1+tan 60° tan 30°

cos 60° = 1/2

cos 30° = √3/2

sin 60° = √3/2

sin 30° = 1/2

tan 60° = √3

tan 30° = 1/√3

1/2×√3/2 - √3/2×1/2 / 1+√3×1/√3

√3/4 - (√3/4)/(2)

√3/4 - √3/8

(8√3 - 4√3)/32

(4√3)/32

√3/8

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