If cos A=√3/2
and 'A' is acute, then the value of 4 sin²A+ tan²A
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Answered by
2
since, cos A = √3/2
so, cosA= cos30 degree.
A= 30 .......
now, 4 sin sq 30 + tan sq 30 = 4× 1/2+ 1/√3= 2√3+1/√3 = or 6+√3/ 3.....
mark my answer as verified.....
Answered by
3
Answer:
sin^2A= 1-cos^2A
= 1- 3/4
sinA = 1/2
tanA=sinA/cosA
= √3/2/1/2
=√3
4sin^2A+tan^2A=4( 1/2)^2+(√3)^2
=4(1/4)+3
= 1+3
=4
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