# Tutor profile: Ayushi G.

## Questions

### Subject: French

Translate the following to French: I woke up one morning, feeling that it was not just like any morning. Finally, the holidays are here and I can't wait for the days filled with only fun things to do.

Je me réveilles un matin, sentant que ce n'est pas un matin comme les autres. Finalement, les vacances sont là et je ne peut pas attendre pour les jours rempli de trucs amusant à faire.

### Subject: Trigonometry

Show that the equation 2 sinx=(4 cosx-1)/tanx ) can be expressed in the form 6 cos^2x-cosx-2=0

2 sin x = (4 cos x - 1) / tan x 2 sin x * tan x = (4 cos x - 1) 2 sin x * (sin x/cos x) = (4 cos x - 1) 2 sin^2 x/cos x = 4 cos x - 1 [2 (1-cos^2 x )] /cos x = 4 cos x -1 2 - 2cos^2 x = (4 cos x-1) * (cos x) -2 cos^2 x +2 = 4 cos ^2 x - cos x 4 cos ^ 2 x + 2 cos ^2 x - cos x -2 = 6 cos ^2 x - cos x - 2 Hence shown

### Subject: Basic Math

[7 - (6 - 5(7 - 5) + 3)] + 4

12

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