What is sqrt(1-(-sin(x))^2) ?

The solution to sqrt(1-(-sin(x))^2) is sqrt(cos^2(x))

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simplify sqrt(1-(-sin(x))^2)

simplify

1 - (- sin (x))^{2}

cos^{2} (x)

Solution steps

1 - (- sin (x))^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- sin (x))^{2} = sin^{2} (x)

= 1 - sin^{2} (x)

Rewrite using trig identities

= cos^{2} (x)

cos (2 t - \frac{5 π}{6}) - sin (2 t)

tan (arcsin (a))

sin (2 π - θ) - sin (θ)

sin (x - 3 0^{\circ}) - sin (2 x)

[cos (2 t - \frac{π}{3})]^{2}

What is sqrt(1-(-sin(x))^2) ?
The solution to sqrt(1-(-sin(x))^2) is sqrt(cos^2(x))