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Calculate without using trigonometric ta...

Calculate without using trigonometric tables: (a) `4 cos 20^@ - sqrt3 cot 20^@`

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Calculate without using trigonometric tables: (a) 4cos20^(@)-sqrt(3)cot20^(@)

4cos20^(@)-sqrt(3)cot20^(@)

4\ cos\ 20^0\ -sqrt(3)\ cot\ 20^0\ =

Calculate the following without using trigonometric tables (i) tan 9^(@) - tan 27^(@) - tan 63^(@) + tan 81^(@) (ii) cosec 10^(@) -sqrt(3) sec 10^(@) (iii) 2sqrt(2) sin 10^(@) [(sec 5^(@))/(2) + (cos 40^(@))/(sin 5^(@))-2 sin 35^(@)] (iv) cot 70^(@)+4 cos 70^(@)

solve 4cos20^(@)-sqrt(3)cot20^(@)

Without using trigonometric tables, show that (cos 70^(@))/( sin 20^(@)) + cos 49^(@) cosec41^(@) = 2

Without using trigonometric tables, evaluate : (i) cos 48^@-sin42^@ (ii) cosec31^@-sec59^@ (iii) cot 34^@-tan56^@ (iv) cos^2 13^@-sin^2 77^@

Without using trigonometric tables, evaluate : (i) (cos 53^@)/(sin 37^@) (ii) (tan68^@)/(cot 22^@) (iii) (sec49^@)/(cosec 41^@) (iv) (sin 30^@17')/(cos 59^@43')

Without using trigonometric tables, prove that : (i) sin 43^@cos47^@+cos43^@ sin 47^@=1 (ii) cos 38^@cos 52^@-sin 52^@=0 (iii) sec 50^@sin40^@+cos40^@cosec 50^@=2 (iv) sec 70 ^@sin 20^@-cos 20^@-cosec 70^@=0

ALLEN-BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -EXERCISE (S-1)
  1. Prove that 4cos((2pi)/7).cos(pi/7)-1=2cos((2pi)/7).

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  2. Let P(k)=(1+cospi/(4k)) (1+cos((2k-1)pi)/(4k)) (1+cos((2k+1)pi)/(4k))...

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  3. Calculate without using trigonometric tables: (a) 4 cos 20^@ - sqrt3 c...

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  4. (2cos4 0^(@)-cos2 0^(@))/(sin2 0^(@)

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  5. cos^6(pi/16)+cos^6(3pi/16)+cos^6(5pi/16)+cos^6(7pi/16)

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  6. tan1 0^(@)-tan5 0^(@)+tan7 0^(@)

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  7. Given that (1+tan1^@)(1+tan2^@)+...........+(1+tan45^@)= 2^n find n .

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  8. If a leq 3 cos (theta+pi/3)+5cos theta+3 leq b, find a and b, where ...

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  9. Let k=1^@ then prove that sum(n=0)^(88)1/(cosnkcos(n+1)k)=cosk/sin^2k

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  10. If x and y are real number such that x^2 +2xy-y^2=6, find the minimum...

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  11. If A+B+C=pi, prove that tan^2A/2+tan^2B/2+tan^2C/2geq1.

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  12. solve the equation for x , 5^(1/2)+5^(1/2 + log5 sinx) = 15^(1/2 + log...

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  13. Find values of theta satisfying sintheta+sin5theta=sin3theta such that...

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  14. Solve the equality 2sin11 x+cos3x+sqrt(3)sin3x=0.

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  15. Find all value of theta, between 0 & pi, which satisfy the equation;...

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  16. Find the general solution of the equation, 2+tanx.cotx/2.tanx/2=0

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  17. Determine the smallest positive value of x which satisfy the equation ...

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  18. Find the general solution of the trignometric equation 3^(1/2+log(3)(c...

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  19. Find the value of theta, which satisfy 3-2 cos theta-4 sintheta-cos 2...

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  20. The range of 'y, such that the equation in x, y + cos x = sin x has a ...

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