Question

1. If 1+ sino² = 3 sino coso, then prove that tan o = 1 or tano= 1/2
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Answer 1

Step-by-step explanation:

जो क्रिया की उत्पत्ति में सहायक हो उसे कारक कहते हैं

Answer 2

Step-by-step explanation:

Given:-

1+ sino² = 3 sino coso

To prove:-

prove that tan o = 1 or tano= 1/2

Solution:-

Given that:-

1+sin²o=3 sino coso

On dividing by cos²o both sides then

=>(1+sin²o)/cos²o=3 sino coso/cos²o

=>(1/cos²o)+(sin²o/cos²o)=3sino/coso

=>sec²o+tan²o=3tano

=>(1+tan²o)+tan²o=3 tano

=>1+2tan²o=3 tano

=>1+2 tan²o-3 tano=0

=>2 tan²o-3 tano+1 =0

=>2 tan²o-2 tano-tano+1=0

=>2tano(tano-1)-1(tano-1)=0

=>(tano-1)(2tano-1)=0

=>tano-1=0 or 2 tano-1=0

=>tano=1 or tano=1/2

Answer:-

Tano =1 or 1/2

Hence, Proved

Used formulae:-

• 1/CosA=SecA
• SinA/CosA=TanA
• Sec²A-Tan²A=1