Question

ПОМОГИТЕ ПОЖ-ТА ДАЮ 20 БАЛЛОВ 1) arcsin 1- arcsin корень из 3/2+arcsin(-1/корень из2) 2) SIN X=3/4

Answer 1

Решение..............

Answer 2

1) arcsin(1) = π/2, since sin(π/2) = 1. arcsin(√3/2) = π/3, since sin(π/3) = √3/2. arcsin(-1/√2) = -π/4, since sin(-π/4) = -1/√2.

2) To solve SIN X = 3/4, we need to find the angle whose sine is equal to 3/4. Since the sine function is positive in the first and second quadrants, we need to find the angle in those quadrants.

Using the inverse sine function, we can find the angle in the first quadrant: arcsin(3/4) ≈ 0.8481 radians or ≈ 48.59 degrees.

To find the angle in the second quadrant, we subtract the angle found in the first quadrant from π radians (180 degrees): π - 0.8481 ≈ 2.293 radians or ≈ 131.41 degrees.

Therefore, the solutions to SIN X = 3/4 are approximately 0.8481 radians (48.59 degrees) and 2.293 radians (131.41 degrees).