What is cos^2(pi+θ)+sin^2(pi+θ) ?

The solution to cos^2(pi+θ)+sin^2(pi+θ) is 1

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simplify cos^2(pi+θ)+sin^2(pi+θ)

simplify

cos^{2} (π + θ) + sin^{2} (π + θ)

1

Solution steps

cos^{2} (π + θ) + sin^{2} (π + θ)

Rewrite using trig identities

= (- cos (θ))^{2} + sin^{2} (π + θ)

Rewrite using trig identities

= (- cos (θ))^{2} + (- sin (θ))^{2}

Simplify

(- cos (θ))^{2} + (- sin (θ))^{2} : cos^{2} (θ) + sin^{2} (θ)

= cos^{2} (θ) + sin^{2} (θ)

Rewrite using trig identities

= 1

cos (- 2 θ)

sin (arcsin (t))

sin (\frac{π}{2} - y)

sec (9 0^{\circ} + x)

sin (a + 3 0^{\circ})