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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

(sin (1) + cos (1))^{2} = 1.90929 \dots

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

Refine to a decimal form

= 1.90929 \dots

1 + 2 sin (1) = 2.68294 \dots

1 + 2 sin (1)

Refine to a decimal form

= 2.68294 \dots

The two sides are not equal

\Rightarrow False

csc (θ) = \frac{1}{sec ( θ )}

cot (2 x) + tan (x) = csc (2 x)

2 cos^{2} (\frac{x}{2}) - 1 = cos (x)

\frac{csc ( z )}{sec ( z )} = cot (z)

\frac{tan ( θ ) cot ( θ )}{sec ( θ )} = cos (θ)

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