Is 3sin(x^2)+4cos^2(x)=3+cos^2(x) ?

The answer to whether 3sin(x^2)+4cos^2(x)=3+cos^2(x) is False

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prove 3sin(x^2)+4cos^2(x)=3+cos^2(x)

prove

3 sin (x^{2}) + 4 cos^{2} (x) = 3 + cos^{2} (x)

False

Solution steps

3 sin (x^{2}) + 4 cos^{2} (x) = 3 + cos^{2} (x)

Show that the two sides are not equal

For

3 sin (x^{2}) + 4 cos^{2} (x) = 3 + cos^{2} (x)

plug in

x = 1

3 sin (1^{2}) + 4 cos^{2} (1) = 3.69211 \dots

3 sin (1^{2}) + 4 cos^{2} (1)

Refine to a decimal form

= 3.69211 \dots

3 + cos^{2} (1) = 3.29192 \dots

3 + cos^{2} (1)

Refine to a decimal form

= 3.29192 \dots

The two sides are not equal

\Rightarrow False

\frac{1 - csc ( x )}{sec ( x )} = cot (x) cos (x)

cos (9 0^{\circ} + 3 0^{\circ}) = cos (12 0^{\circ})

sin (θ) cos (θ) = sin (θ)

(1 - cos (x)) - cos (y) = sin (x + y)

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

Is 3sin(x^2)+4cos^2(x)=3+cos^2(x) ?
The answer to whether 3sin(x^2)+4cos^2(x)=3+cos^2(x) is False