Question

show tan 54 =Cos9+sin9÷cos9-sin9​

Answer 1

Answer:

54°-9°=45°

54°=45°+9°

tan54°=tan(45°+9°)

tan54°=tan45°+tan9°/1-tan45°tan9°

tan54°=1+tan9°/1-tan9° [∵, tan45°=1]

tan54°=(1+sin9°/cos9°)/(1-sin9°/cos9°)

tan54°={(cos9°+sin9°)/cos9°}/{(cos9°-sin9°)/cos9°}

tan54°=cos9°+sin9°/cos9°-sin9° (Prove)

Step-by-step explanation: