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Prove that: (sinx)/(cos3x)+(sin3x)/(cos...

Prove that: `(sinx)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27 x)=(1/2)(tan27 x-tanx)`

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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Eliminate x from equations sin(a+x)=2b and sin(a-x)=2c.

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  2. If t a nbeta=(nsinalphacosalpha)/(1-nsin^2alpha) , show that tan(alph...

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  3. Prove that: (sinx)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27 x)=(1/2)(ta...

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  4. If theta=3alphaand sintheta=a/(sqrt(a^2+b^2)), the value of the expre...

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  5. The value of tan6^0tan42^0tan66^0tan78^0 is (a)1 (b) 1/2 (c) 1/...

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  6. In triangle A B C , if angle is 90^0 and the area of triangle is 30 sq...

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  7. If sqrt(2)cos A=cos B+cos^3B ,a n dsqrt(2)sinA=sinB-sin^3Bt h e nsin(A...

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  8. In a right angled triangle the hypotenuse is 2sqrt(2) times the perpe...

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  9. A circular ring of radius 3cm hangs horizontally from a point 4 cm ve...

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  10. If tanbeta=2sinalphasingammacos e c(alpha+gamma), then cotalpha,cotbe...

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  11. tan9-tan27-tan63+tan81=4

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  12. Let x=sin1^0, then the value of the expression. 1/(cos0^0dotcos1^0)+...

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  13. If (tan3A)/(tanA)=k(k!=1) then which of the following is not true? (...

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  14. If x in (pi,(3pi)/2),then 4cos^2(pi/4-x/2)+sqrt(4sin^4x+sin^2 2x) is ...

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  15. If cosx=(2cosy-1)/(2-cosy), where x , y in (0,pi) then tan(x/2)xxcot(y...

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  16. If theta is eliminated from the equations x=a"cos"(theta-alpha) and y=...

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  17. If tanx=b/a , then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b)) is equal to ...

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  18. Given that (1+sqrt(1+x))tany=1+sqrt(1-x) . Then sin4y is equal to (...

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  19. If cos2B=(cos(A+C))/("cos"(A-C)), then tanA ,t a n B ,tanC are in (...

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  20. If ("cos"(x-y))/("cos"(x+y))+("cos"(z+t))/(cos(z-t))=0 , then the val...

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