What is sqrt(k^2-k^2sin^2(t)) ?

The solution to sqrt(k^2-k^2sin^2(t)) is ksqrt(cos^2(t))

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simplify sqrt(k^2-k^2sin^2(t))

simplify

k^{2} - k^{2} sin^{2} (t)

k cos^{2} (t)

Solution steps

k^{2} - k^{2} sin^{2} (t)

Factor out common term

k^{2}

= k^{2} (1 - sin^{2} (t))

Apply radical rule:

assuming

a \geq 0, b \geq 0

= k^{2} - sin^{2} (t) + 1

Apply radical rule:

assuming

a \geq 0

k^{2} = k

= k - sin^{2} (t) + 1

Rewrite using trig identities

= cos^{2} (t) k

cos (arcsin (ln (x)))

cos (arcsin (- cos (x)))

sec (arctan (\frac{x}{4}))

tan (x + x)

3 - 2 sin^{2} (x)

What is sqrt(k^2-k^2sin^2(t)) ?
The solution to sqrt(k^2-k^2sin^2(t)) is ksqrt(cos^2(t))