15. Use the reduction formula for sinx to show that sinx dx = 1...

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15. Use the reduction formula for sin"x to show that п — sin"x dx = 1 sin"-2x dx Use this result to derive the Wallis sine formulas: 1.3.5 ... (n – 1) n sin"x dx ; when n is even and n > 2 2.4.6 ... ..... T Si sin"x dx = 2.4.6..(n-1) ; when n is odd and n > 3. 3.5.7. .n Hence evaluate TT sin x dx 0. 15. Use the reduction formula for sin"x to show that п — sin"x dx = 1 sin"-2x dx Use this result to derive the Wallis sine formulas: 1.3.5 ... (n – 1) n sin"x dx ; when n is even and n > 2 2.4.6 ... ..... T Si sin"x dx = 2.4.6..(n-1) ; when n is odd and n > 3. 3.5.7. .n Hence evaluate TT sin x dx 0.