What is the general solution for arccos(x)=arcsin(3/5) ?

The general solution for arccos(x)=arcsin(3/5) is x= 4/5

Popular >

arccos(x)=arcsin(3/5)

arccos (x) = arcsin (\frac{3}{5})

x = \frac{4}{5}

Solution steps

arccos (x) = arcsin (\frac{3}{5})

Apply trig inverse properties

arccos (x) = arcsin (\frac{3}{5})

arccos (x) = a \Rightarrow x = cos (a)

x = cos (arcsin (\frac{3}{5}))

cos (arcsin (\frac{3}{5})) = \frac{4}{5}

cos (arcsin (\frac{3}{5}))

Rewrite using trig identities:

cos (arcsin (\frac{3}{5})) = 1 - (\frac{3}{5})^{2}

Use the following identity:

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

= 1 - (\frac{3}{5})^{2}

= 1 - (\frac{3}{5})^{2}

Simplify

= \frac{4}{5}

x = \frac{4}{5}

x = \frac{4}{5}

x, y = 2 tan (x)

sin^{2} (x) - cos^{2} (x) - 1 = 0

tan (x) - 1 = - \frac{1}{3} + \frac{1}{3} cot (x)

tan^{2} (x) - 3 tan (x) = 0, 0 \leq x \leq 2 π

75 = 50 cosh (\frac{x}{50})

What is the general solution for arccos(x)=arcsin(3/5) ?
The general solution for arccos(x)=arcsin(3/5) is x= 4/5