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If tan x=(3)/(4) " and " pi lt x lt .(...

If tan `x=(3)/(4) " and " pi lt x lt .(3pi)/(2)` find the value of
`(i) sin.(x)/(2) , (ii) cos .(x)/(2) , (iii) tan .(x)/(2)`

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MOTION-TRIGNOMETRIC RATIOS & IDENTITIES -Exercise -3
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  2. If A+B+C =180^(@) then prove that sin 2A + sin 2B+ sin 2C = 4 sin A s...

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  3. If tan x=(3)/(4) " and " pi lt x lt .(3pi)/(2) find the value of ...

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  4. Prove taht {(1-cot^2((alpha-pi)/4))/(1+cot^2((alpha-pi)/4))+cos(alpha/...

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  5. 4(cos^3 2 0^(@)+cos^3 4 0^(@))=3(cos2 0^(@)+cos4 0^(@))

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  6. Prove that (i) (sec 8A -1)/(sec 4A -1) =(tan 8A)/(tan 2A) (ii) (c...

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  7. Prove that sin 3x .sin^(3) x+cos 3 x . Cos^(3)x=cos^(3) 2x

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  8. If tan beta=(tan alpha + tan gamma)/(1+ tan alpha . tan gamma) Prove...

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  9. Prove that sin^2 theta+sin^2 2theta+sin^2 3theta+....+sin^2 n theta=n/...

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  10. सिद्ध कीजिए कि - cos x+cos ((2pi)/(3)+x)+cos((2pi)/(3)-x)=0

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  11. Find the maximum and minimum values of (i) cos 2x + cos^(2)x (ii) ...

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  12. An maximum value of 1+4 sin theta + 3 cos theta is

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  13. If phi is the exterior angle of a regular polygon of n sides and theta...

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  14. If - pi/2 < x < pi/2 and y=log10(tanxsecx). Then the expression E=(10^...

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  15. If the arcs of the same length in two circles subtend angles 75^(@) a...

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  16. Find the length of an arc of a circle of radius 10 cm which subtends ...

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  17. If cos(alpha-beta)+cos(beta-gamma)+cos(gamma-alpha)=-3/2 , prove that ...

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  18. For all theta in [ 0, pi//2], show that cos ( sin theta) gt sin (cos...

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  19. Calculate the following without using trigonometric tables (i) tan ...

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  20. If sin(theta+alpha)=asin(theta+beta)=b(0 lt alpha,beta,theta lt pi/2)...

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