What is the value of cos(arcsin((sqrt(45))/7)) ?

The value of cos(arcsin((sqrt(45))/7)) is 2/7

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cos(arcsin((sqrt(45))/7))

cos (arcsin (\frac{45}{7}))

\frac{2}{7}

Decimal Notation

0.28571 \dots

Solution steps

cos (arcsin (\frac{45}{7}))

Rewrite using trig identities:

cos (arcsin (\frac{45}{7})) = 1 - (\frac{45}{7})^{2}

Use the following identity:

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

= 1 - (\frac{45}{7})^{2}

= 1 - (\frac{45}{7})^{2}

Simplify

= \frac{2}{7}

32 (cos (\frac{3 π}{4}) + i sin (\frac{3 π}{4}))

tan (1.25)

\frac{sin ( 57 0 ^{\circ} ) + 2 cos ( 117 0 ^{\circ} )}{cos ( 198 0 ^{\circ} )}

2 cos (- \frac{π}{4}) - (- \frac{π}{4})

arctan (\frac{1}{2}) + arctan (\frac{1}{5}) + arctan (\frac{1}{8})

What is the value of cos(arcsin((sqrt(45))/7)) ?
The value of cos(arcsin((sqrt(45))/7)) is 2/7