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If costheta=1/2\ a n d\ pi<theta<(3pi)/2...

If `costheta=1/2\ a n d\ pi

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If costheta=-1/2 and pi

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If cot theta+costheta=m and cot theta-costheta=n , then find the value of m^(2)-n^(2) .

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If 1/6sintheta,costheta\ "and" \ tantheta are in G.P. then the general solution for theta is (a) 2npi+-pi/3 (b) 2npi+-pi/6 npi+-pi/3 (d) none of these

Let P={theta: s intheta-costheta=sqrt(2)costheta}a n d\ Q={theta: s intheta+costheta=sqrt(2)s intheta} be two sets. Then PsubQ\ a n d Q-P!=O/ b. Q P c. P Q d. P=Q

If 4costheta+5sintheta=1 and alpha satisfy equation and alphain(-pi/2,pi/2) then, value of alpha is

If tan(pi.costheta)=cot(pi.sintheta), then: cos((pi)/(4)-theta)=..... (a) 1/2 (b) 1/sqrt2 (c) 1/(2sqrt2) (d) sqrt2/2

If theta epsilon (0, pi/2) then the value of |((sintheta+cosectheta)^2, (sintheta- cosectheta)^2,1 ),((costheta+sectheta)^2, (costheta-sectheta)^2, 1),((tantheta+cottheta)^2, (tantheta-cottheta)^2, 1)|= (A) sintheta+costhetas+tantheta (B) 1 (C) 0 (D) 4

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  3. If costheta=1/2\ a n d\ pi<theta<(3pi)/2 , find the value of 4tan^2the...

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  4. Find the values of the following trignometric ratios: (a) cos 855^(@)...

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  10. (tan(pi/4+x))/(tan(pi/4-x)) = ((1+tanx)/(1-tanx))^(2)

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  11. Prove that tan8theta - tan6theta - tan2theta= tan8theta tan6theta ta...

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  12. i) If A+B=pi/4 prove that: (cotA-1)(cotB-1)=2 ii) If tan(picosthet...

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  13. cos 20^@.cos 40^@.cos 60^@ cos 80^@=

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  14. Prove that, sin20^@sin40^@sin80^@=sqrt3/8.

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  15. (sinA+sin3A)/(cosA+cos3A)=tan2A

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  16. cos((3pi)/(4)+x)-cos((3pi)/(4)-x) = -sqrt(2)sinx

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  17. Prove that: a) (sin2theta)/(1+costheta) = tantheta b) (1+sin2theta...

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  18. cos4x=1-8sin^2xcos^2x

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  19. Prove that sqrt((1-cos2theta)/(1+cos2theta))=tantheta where tantheta>0

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  20. Find the principle value of the following: (a) tan theta = sqrt(3) ...

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