What is cos(arcsin((mg)/T)) ?

The solution to cos(arcsin((mg)/T)) is (sqrt(T^2-g^2m^2))/T

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simplify cos(arcsin((mg)/T))

simplify

cos (arcsin (\frac{m g}{T}))

\frac{T ^{2} - g ^{2} m ^{2}}{T}

Solution steps

cos (arcsin (\frac{m g}{T}))

Use the following identity:

cos (arcsin (x)) = 1 - x^{2}

= 1 - (\frac{m g}{T})^{2}

Simplify

= \frac{T ^{2} - g ^{2} m ^{2}}{T}

sec (\frac{- 7 x}{6})

\frac{sin ( θ )}{cos ^{2} ( θ )} d θ

- (5 sin (x))^{2} + 25

sin (\frac{3}{2} π + θ)

\frac{( 1 + tan ^{2} ( x ) )}{se x ( x )}

What is cos(arcsin((mg)/T)) ?
The solution to cos(arcsin((mg)/T)) is (sqrt(T^2-g^2m^2))/T