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The value of (sin 1^(@) +sin 3^(@) + sin...

The value of `(sin 1^(@) +sin 3^(@) + sin 5^(@) +sin 7^(@))/(cos 1^(@)*cos 2^(@)sin 4^(@))` is __________

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The correct Answer is:
4
`( 2sin 4^(@) cos 3^(@) + 2 sin 4^(@) cos 1^(@))/( cos 1^(@) cos 2^(@) sin 4^(@))`
`= (2 sin 4^(@)[ cos 3^(@) + cos 1^(@)])/(cos 1^(@) cos 2^(@) sin 4^(@))`
` = ( 4 cos 2^(@) cos 1^(@))/( cos 1^(@) cos 2^(@)) = 4`
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CENGAGE-TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS-Exercise (Numerical)
  1. Number of triangles A B C if tanA=x ,tanB=x+1,a n dtanC=1-x is

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  2. If log(10) sin x+log(10)cos x=-1 and log(10)(sinx+cosx)=(log(10)n-1)/2...

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  3. The value of (sin 1^(@) +sin 3^(@) + sin 5^(@) +sin 7^(@))/(cos 1^(@)*...

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  4. In a triangle A B C , if A-B=120^0a n dsinA/2sinB/2sinC/2=1/(32), then...

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  5. If (tanx)/2=(tany)/3=(tanz)/5,x+y+z=pia n dtan^2x+tan^2y+tan^2z=(38)/K...

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  6. If sin^3xcos3x+cos^3xsin3x=3/8, then the value of 8sin4x is

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  7. The value of cos e cpi/(18)-4sin(7pi)/(18) is

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  8. If tanx+tan2x+tan3x=tanxtan2xtan3x then value of |sin3x+cos3x| is

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  9. 16(costheta-cospi/8)(costheta-cos(3pi)/8)(costheta-cos(5pi)/8)(costhet...

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  10. If (tan(I n6)dottan(I n2)dot"tan"(I n3))/(tan(I n6)-tan(I n2)-"tan"(I ...

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  11. If cot(theta-alpha),3cottheta,"cot"(theta+alpha) are in A.P. and theta...

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  12. The value of (2sinx)/(sin3x)+(tanx)/(tan3x) is.

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  13. If cot^2Acot^2B=3, then the value of (2-cos2A)(2-cos2B) is

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  14. The value of f(x)=x^4+4x^3+2x^2-4x+7, when x=cot(11pi)/8 is

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  15. The value of sin^2 12^0+sin^2 21^0+sin^2 39^0+sin^2 48^0-sin^2 9^0-sin...

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  16. Given that f(ntheta)=(2sin2theta)/(cos2theta-cos4ntheta), and f(theta)...

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  17. Suppose sin^3xsin3x=sum(m=0)^n Cmcosm x is an identity in x , where ...

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  18. If sec alpha is the average of sec(alpha - 2beta) and sec(alpha + 2bet...

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  19. If A, B and C are three values lying in [0, 2pi] for which tan theta =...

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  20. The value of [ ( sin ""(pi)/(9)) (4+ sec""(pi)/(9))]^(2) is .

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