Angle x is an acute angle
cos x = sin60 degrees * tan30 degrees.

1 Find these angles in degrees: (a) π/6; (b) 2π; (c) 1 (that's right, ... Acute angles are between 0° and 90° exclusive, so the answer is (a) (0°, ... tan 30° = 1/√3 or (√3)/3 ... notice that sin 60° = cos 30°, cos 60° = sin 30°, and tan 60° = cot 30°. ... For example, you could replace tan² x with sin² x / cos² x in the ...

Step-by-step explanation:

See below for answers (in bold) and explanations

Step-by-step explanation:

Part A: (h+t)(x) = h(x) + t(x) = (2x-5) + (6x+4) = 2x - 5 + 6x + 4 = 8x - 1

Part B: (h*t)(x) = h(x) * t(x) = (2x-5) * (6x+4) = (2x)(6x) + (2x)(4) + (-5)(6x) + (-5)(4) = 12x² + 8x - 30x - 20 = 12x² - 22x - 20

Part C: h(t(x)) = h(6x + 4) = 2(6x + 4) - 5 = 12x + 8 - 5 = 12x + 3