When 36 is decreased by 75%, the result is 9.
75% of 36 is 27.
36 - 27 = 9
Answer:
Let θ = (45 - A)°.
=> 2Tanθ/ 1 + Tan²θ
=> 2Sinθ/Cosθ / 1 + Sin²θ / Cos²θ
=> 2Sinθ/Cosθ/ Cos²θ + Cos²θ / Cos²θ
=> 2Sinθ/Cosθ/ 1 / Cos²θ
=> 2SinθCos²θ/Cosθ
=> 2SinθCosθ
=> Sin2θ
But we assumed θ = (45 - A)°,
=> Sin2(45 - A)
=> Sin(90 - 2A) (∵ Sin(90 - θ) = Cosθ)
=> Cos2A
= R.H.S
Hence proved.
Step-by-step explanation:
Negative numbers are integers.The set of integers include negative numbers, positive numbers, and zero
Answer:
C, D and F are true
Step-by-step explanation:
The DCB triangle is isosceles, so it means the angles D and B are the same and as the angle C is 90°, B and C need to be 45° (because the sum of the internal angles of a triangle is always 180°). The sin(B) = sin(C) = sqrt2/2 and the tan(B) = tan(C) = 1
.