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If sin4A-cos2A=cos4A-sin2A ("where",0l...

If `sin4A-cos2A=cos4A-sin2A` `("where",0ltAlt(pi)/(4))`, then the value of tan 4A is

A

1

B

`(1)/(sqrt(3))`

C

`sqrt(3)`

D

`(sqrt(3)-1)/(sqrt(3)+1)`

Text Solution

Verified by Experts

The correct Answer is:
C
`sin4A-cos4A=cos2A-sin2A`
On squaring both sides ,we get
1-2 sin 4 A cos 4 A = 1-2 sin 2 A cos 2 A
`rArrcos4A=(1)/(2)rArrtan4A=sqrt(3)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES-Exercise 2 (MISCELLANEOUS PROBLEMS)
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  12. If tanA-tan B=x, and cot B-cotA=y, then find the value of cot(A-B).

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  14. If cos 2B =cos(A+C)/cos( A-C), then tanA, tanB, tanC are in

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