Maths4U Original · Short practice

Expand \(\cos^{9}\theta\) and \(\sin^{9}\theta\) as sums of multiple-angle terms.

Find the coefficient of cos(9θ) in \(\displaystyle \cos ^9(\theta )\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

Expand \(\cos^{3}\theta\) and \(\sin^{3}\theta\) as sums of multiple-angle terms.

Find the coefficient of cos(3θ) in \(\displaystyle \cos ^3(\theta )\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

Expand \(\cos^{3}\theta\) and \(\sin^{3}\theta\) as sums of multiple-angle terms.

Find the coefficient of cos(1θ) in \(\displaystyle \cos ^3(\theta )\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

Expand \(\cos^{5}\theta\) and \(\sin^{5}\theta\) as sums of multiple-angle terms.

Find the coefficient of cos(3θ) in \(\displaystyle \cos ^5(\theta )\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

Expand \(\cos^{5}\theta\) and \(\sin^{5}\theta\) as sums of multiple-angle terms.

Find the coefficient of sin(5θ) in \(\displaystyle \sin ^5(\theta )\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

Expand \(\cos^{7}\theta\) and \(\sin^{7}\theta\) as sums of multiple-angle terms.

Find the coefficient of sin(7θ) in \(\displaystyle \sin ^7(\theta )\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

Expand \(\cos^{7}\theta\) and \(\sin^{7}\theta\) as sums of multiple-angle terms.

Find the value of \(\displaystyle \cos^{n} (\frac{\pi }{3})\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

Expand \(\cos^{9}\theta\) and \(\sin^{9}\theta\) as sums of multiple-angle terms.

Find the value of \(\displaystyle \cos^{n} (\frac{\pi }{3})\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.