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If sec=5/4 ,show that 2cos-sin/cot-tan=12/7?
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If sec=5/4 ,show that 2cos-sin/cot-tan=12/7?
Sec A=5/4,---( given),
to show--> 2CosA-SinA/CotA-TanA=12/7,
SecA=h/b=5/4,(so, here h=5 and b=4),
by Pythagoras formula -->
h^2=p^2+b^2,
or, 5^2=4^2+ p^2,
25-16= p^2,
p=√9,
p=3,
{h=5,b=4,p=3}
now -->LHS==>
2CosA-sin A/CotA -TanA ,
=2(b/h)-(p/h)/(b/p)-(p/b),
=2(4/5)-(3/5)/(4/3-3/4),
=1×12/7,
=12/7,
RHS=12/7,
so, LHS =RHS
Hence proved
to show--> 2CosA-SinA/CotA-TanA=12/7,
SecA=h/b=5/4,(so, here h=5 and b=4),
by Pythagoras formula -->
h^2=p^2+b^2,
or, 5^2=4^2+ p^2,
25-16= p^2,
p=√9,
p=3,
{h=5,b=4,p=3}
now -->LHS==>
2CosA-sin A/CotA -TanA ,
=2(b/h)-(p/h)/(b/p)-(p/b),
=2(4/5)-(3/5)/(4/3-3/4),
=1×12/7,
=12/7,
RHS=12/7,
so, LHS =RHS
Hence proved
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If sec=5/4 ,show that 2cos-sin/cot-tan=12/7?
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If sec=5/4 ,show that 2cos-sin/cot-tan=12/7?
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If sec=5/4 ,show that 2cos-sin/cot-tan=12/7? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If sec=5/4 ,show that 2cos-sin/cot-tan=12/7? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sec=5/4 ,show that 2cos-sin/cot-tan=12/7?.
If sec=5/4 ,show that 2cos-sin/cot-tan=12/7? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If sec=5/4 ,show that 2cos-sin/cot-tan=12/7? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sec=5/4 ,show that 2cos-sin/cot-tan=12/7?.
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