Given the vector a = (SiNx, 1), B = (cosx, 1), X ∈ R. (1) when x = π 4, find the coordinates of vector a + B; (2) if the function f (x) = | a + B | 2 + m is an odd function, find the value of real number M

Given the vector a = (SiNx, 1), B = (cosx, 1), X ∈ R. (1) when x = π 4, find the coordinates of vector a + B; (2) if the function f (x) = | a + B | 2 + m is an odd function, find the value of real number M

(1) When x = π 4, the vector a + B = (22,1) + (22,1) = (2,2); (2) ∵ a + B = (SiNx + cosx, 2), ∵ f (x) = (SiNx + cosx) 2 + 4 + M = sin2x + 5 + M. ∵ function f (x) is an odd function, ∵ f (- π) = - f (π). ∵ sin (- 2 π) + 5 + M = - (sin2 π + 5 + m), which is reduced to 5 +

Elden Ring Premiere

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