Math, asked by mohitcsmohit7009, 1 year ago

tan59=cos9+sin9/cos9-sin9

Answers

Answered by ANILKUMAR111
0
2016-10-12T18:58:16+05:30
54°-9°=45°
or, 54°=45°+9°
or, tan54°=tan(45°+9°)
or, tan54°=tan45°+tan9°/1-tan45°tan9°
or, tan54°=1+tan9°/1-tan9° [∵, tan45°=1]
or, tan54°=(1+sin9°/cos9°)/(1-sin9°/cos9°)
or, tan54°={(cos9°+sin9°)/cos9°}/{(cos9°-sin9°)/cos9°}
or, tan54°=cos9°+sin9°/cos9°-sin9° (Proved)
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