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

Evaluate `(2cos4 0^(@)-cos2 0^(@))/(sin2 0^(@)`

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To evaluate the expression \((2 \cos 40^\circ - \cos 20^\circ) / \sin 20^\circ\), we can follow these steps: ### Step 1: Rewrite the expression We start with the expression: \[ \frac{2 \cos 40^\circ - \cos 20^\circ}{\sin 20^\circ} \] We can rewrite \(2 \cos 40^\circ\) as \(\cos 40^\circ + \cos 40^\circ\): ...
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Evaluate : [{:(,4 sin 30^@ 2 cos 60^@), (,sin 90^@ 2 cos 0^@):}] [{:(,4,5),(,5,4):}]

Evaluate : (i) sin^(2)30^(@)-2cos^(3)60^(@)+3tan^(4)45^(@) (ii) (cos0^(@)+sin45^(@)+sin30^(@))(sin90^(@)-cos45^(@)+cos60^(@))

Evaluate : (sin50^0)/(cos40^0)+(cos e c40^0)/(sec50^0)-4cos50^0cos e c40^0

Evaluate : [{:(,cos 45^@, sin 30^@),(,sqrt2 cos 0^@, sin 0^@):}] [{:(,sin 45^@, cos 90^@),(,sin 90^@, cot 45^@):}]

Find the value of (sin30^(@))/(cos^(2)45^(@))-tan^(2)60^(@)+3cos90^(@)+sin0^(@) .

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

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

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

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

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  6. Prove that from the equality (sin^(4)alpha)/a+(cos^(4)alpha)/b=1/(a+b)...

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

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  8. The value of (cotθ+cosecθ-1)/ (cotθ-cosecθ+1) is

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

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

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

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

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  13. Which of the following are the solutions of equation 2sin 11x + cos3x ...

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

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  15. Find the general solution of the equation, 2+tanx.cot(x/2) +cotx.tan(x...

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

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

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

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

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  20. Find the general solution values of theta for which the quadratic (sin...

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