please answer it plese
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Step-by-step explanation:
1) suppose A is an acute angle.
cos A = 0.6 ---> (cos A)^2 = 0.36
---> (sin A)^2 = 1 - (cos A)^2 = 1 - 0.36
= 0.64
---> sin A = 0.8
---> tan A = sin A / cos A = 0.8 / 0.6
= 8 / 6 = 4 / 3.
5 sin A - 3 tan A = 5 × 0.8 - 3 × 4 / 3
= 4 - 4 = 0.
thus 3) 0 is the right answer.
2) x = a cos O , y = a sin O, then
x^2 = a^2(cos O)^2
and
y^2 = a^2(sin O)^2
then
x^2 + y^2 = a^2((cos O)^2 + (sin O)^2)
= a^2 × 1 = a^2.
thus 1) x^2 + y^2 = a^2 is the right answer.
3) cos 315° = cos(360° - 45°)
= cos(- 45°) = cos 45°
= 1 / sqrt(2)
thus 1) 1 / sqrt(2) is the right answer.
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