Is (1-cot(-θ))/(cot(-θ))=sin(θ) ?

The answer to whether (1-cot(-θ))/(cot(-θ))=sin(θ) is False

Popular >

prove (1-cot(-θ))/(cot(-θ))=sin(θ)

prove

\frac{1 - cot ( - θ )}{cot ( - θ )} = sin (θ)

False

Solution steps

\frac{1 - cot ( - θ )}{cot ( - θ )} = sin (θ)

Show that the two sides are not equal

For

\frac{1 - cot ( - θ )}{cot ( - θ )} = sin (θ)

plug in

θ = 1

\frac{1 - cot ( - 1 )}{cot ( - 1 )} = - 2.55740 \dots

\frac{1 - cot ( - 1 )}{cot ( - 1 )}

Refine to a decimal form

= - 2.55740 \dots

sin (1) = 0.84147 \dots

sin (1)

Refine to a decimal form

= 0.84147 \dots

The two sides are not equal

\Rightarrow False

2 sin (2 x) sin (2 x - \frac{π}{2}) = - cos (4 x - \frac{π}{2})

cot (4 5^{\circ}) = \frac{cos ( 4 5 ^{\circ} )}{sin ( 4 5 ^{\circ} )}

\frac{1 - sin ( x )}{1 + sin ( x )} = sec (x) - tan (x)

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

\frac{cos ( θ )}{sec ( θ ) - tan ( θ )} = 1 sin (θ)

Is (1-cot(-θ))/(cot(-θ))=sin(θ) ?
The answer to whether (1-cot(-θ))/(cot(-θ))=sin(θ) is False