Question Number 145668 by mathdanisur last updated on 07/Jul/21
$${Compare}: \\ $$$${sin}\left(\mathrm{43}°\right)\:\:{and}\:\:{sin}\left(\mathrm{40}°\right)+{sin}\left(\mathrm{3}°\right) \\ $$
Answered by mr W last updated on 07/Jul/21
$$\mathrm{sin}\:\mathrm{43}°=\mathrm{sin}\:\left(\mathrm{40}+\mathrm{3}\right) \\ $$$$=\mathrm{cos}\:\mathrm{3}×\mathrm{sin}\:\mathrm{40}+\mathrm{cos}\:\mathrm{40}×\mathrm{sin}\:\mathrm{3} \\ $$$$<\mathrm{sin}\:\mathrm{40}°+\mathrm{sin}\:\mathrm{3}° \\ $$
Commented by mathdanisur last updated on 07/Jul/21
$${Thankyou}\:{Ser} \\ $$