Is cos(87*pi/2+7/11)=sin(7/11) ?

The answer to whether cos(87*pi/2+7/11)=sin(7/11) is True

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prove cos(87*pi/2+7/11)=sin(7/11)

prove

cos (87 \cdot \frac{π}{2} + \frac{7}{11}) = sin (\frac{7}{11})

True

Solution steps

cos (87 \cdot \frac{π}{2} + \frac{7}{11}) = sin (\frac{7}{11})

Manipulating left side

cos (87 \frac{π}{2} + \frac{7}{11})

Rewrite using trig identities

= sin (\frac{7}{11})

We showed that the two sides could take the same form

\Rightarrow True

sin^{2} (θ) + 2 cos (θ) - 1 = cos (θ)

cos (a - b) = cos (a) cos (b) + sin (a) sin (b)

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

sin (x) cos (x) = sin (2 x)

tan (x) + cot (x) = sec (x) cos (x)

Is cos(87*pi/2+7/11)=sin(7/11) ?
The answer to whether cos(87*pi/2+7/11)=sin(7/11) is True