What is the value of cos(7pi)+sin(7 pi/2) ?

The value of cos(7pi)+sin(7 pi/2) is -2

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cos(7pi)+sin(7 pi/2)

cos (7 π) + sin (7 \frac{π}{2})

- 2

Solution steps

cos (7 π) + sin (7 \cdot \frac{π}{2})

Simplify:

7 \cdot \frac{π}{2} = \frac{7 π}{2}

= cos (7 π) + sin (\frac{7 π}{2})

cos (7 π) = cos (π)

= cos (π) + sin (\frac{7 π}{2})

sin (\frac{7 π}{2}) = sin (\frac{3 π}{2})

= cos (π) + sin (\frac{3 π}{2})

Use the following trivial identity:

cos (π) = (- 1)

Rewrite using trig identities:

sin (\frac{3 π}{2}) = - 1

= - 1 - 1

Simplify

= - 2

arctan (\frac{40}{60})

sin^{2} (6 0^{\circ}) + cos^{2} (3 0^{\circ})

150 cos (2 0^{\circ})

sin^{2} (80.3 1^{\circ})

tan (11 7^{\circ})

What is the value of cos(7pi)+sin(7 pi/2) ?
The value of cos(7pi)+sin(7 pi/2) is -2