Is cos(2x)=-2sin(x^2)+1 ?

The answer to whether cos(2x)=-2sin(x^2)+1 is False

Popular >

prove cos(2x)=-2sin(x^2)+1

prove

cos (2 x) = - 2 sin (x^{2}) + 1

False

Solution steps

cos (2 x) = - 2 sin (x^{2}) + 1

Show that the two sides are not equal

For

cos (2 x) = - 2 sin (x^{2}) + 1

plug in

x = 1

cos (2 \cdot 1) = - 0.41614 \dots

cos (2 \cdot 1)

Refine to a decimal form

= - 0.41614 \dots

- 2 sin (1^{2}) + 1 = - 0.68294 \dots

- 2 sin (1^{2}) + 1

Refine to a decimal form

= - 0.68294 \dots

The two sides are not equal

\Rightarrow False

tan (x) (cos (x) + cot (x)) = sin (x) + 1

tan^{2} (x) - sin^{2} (x) tan^{2} (x) = sin^{2} (x)

(1 - cos (x)) (1 + cos (x)) (1 + cot^{2} (x)) = 1

1 + tan^{2} (6 0^{\circ}) = sec^{2} (6 0^{\circ})

1 + cos (θ) = sin (θ)