Solve it fast & also explain the sum in detail.
Answers
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Answer:
1
Step-by-step explanation:
Cos θ = Adjacent Side / Hypotenuse Side
Value of Cos 0 Using Unit Circle
Assume a unit circle with the center at the origin of the coordinate axes. Consider that P (a, b) be any point on the circle which forms an angle AOP = x radian. This means that the length of the arc AP is equal to x. So we define that cos x = a and sin x = b
Now consider a triangle OMP is a right triangle,
By using the Pythagorean theorem, we get
OM2+ MP2= OP2 (or) a2+ b2= 1
So for every point on the unit circle, we define it as
a2+ b2 = 1 (or) cos2 x + sin2 x = 1
It is noted that the one complete revolution subtends an angle of 2π radian at the centre of the circle,
∠AOB=π/2,
∠AOC = π and
∠AOD =3π/2.
Since all angles of a triangle are the integral multiples of π/2 and it is commonly called quadrantal angles. Therefore, the coordinates of the points A, B, C and D are (1, 0), (0, 1), (–1, 0) and (0, –1) respectively. Therefore, from the quadrantal angles, we can get the cos 0 value
Cos 0° = 1
Answer:
cos 90 ° is zero
Step-by-step explanation:
cos theta is adjacent side by hypotenuse
only when adjacent side becomes zero cos theta becomes zero
therefore the angle is 90°