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If 0 lt A lt pi //4 and cos A = 4//5, t...

If `0 lt A lt pi //4 and cos A = 4//5, ` then find the values of ` sin 2 A and cos2A `

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The correct Answer is:
(i) `24/25` (ii) `7/25`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS-EXERCISE - 6(D)
  1. Find the periods for the following functions. 2sin[pi/4+xi]cosx

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  2. Find the periods for the following functions. (5sigmatauvxi+3chiosig...

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  3. If 0 lt A lt pi //4 and cos A = 4//5, then find the values of sin 2...

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  4. For what values of A in the first quardrant, the expression (cot^(3)A-...

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  5. Prove that (cos3A + sin3A)/(cosA - sin A) = 1+ 2sin 2A.

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  6. If theta lies in third Quardrant and Sintheta=(-4)/5. Find the values ...

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  7. If 90^(@) lt theta lt 180^(@) , cos theta =-12//13 , then sin 2 thet...

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  8. (Cos^(3)theta-Cos3theta)/(Costheta)+(Sin^(3)theta+Sin3theta)/(Sintheta...

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  9. Show that CosA=(Cos3A)/(2Cos2A-1). Hence find the value of Cos15^(@)

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  10. Show that sin A= (sin 3A) /(1+2 cos 2A). Hence find the value of sin 1...

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  11. Prove that tanalpha=(sigmatauv2alpha)/(1+chiosigma2alpha) and hence de...

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  12. Show that 1/(sin 10^(@)) - (sqrt(3))/(cos 10^(@)) = 4.

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  13. Prove that sqrt(3)"cosec"20^(@)-"sec"20^(@) =4.

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  14. tan9^(@)-tan27^(@)-tan63^(@)+tan81^(@)=

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  15. In a Delta ABC, If tan .(A)/(2)=(5)/(6) and tan .(B)/(2) =(20)/(37), ...

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  16. If cos theta =(5)/(13) and 270 ^(@) lt theta lt 360^(@), evaluate sin ...

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  17. If 180^(@) lt theta lt 270^(@) and sintheta=(-4)/5 calculate sin[theta...

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  18. cos^(2) pi/8 + cos^(2) 3pi/8 + cos^(2) 5pi/8 + cos^(2) 7pi/8 =2 అని చూ...

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  19. Show that cos^4""pi/8+cos^4""(3pi)/8+cos^4""(5pi)/8+cos^4""(7pi)/8=3/2

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  20. tan x + tan (x +pi/3) + tan (x +2pi/3) =3 అయితే , tan 3x =1 అని చూపండి...

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