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Let f and g be function defined by `f(theta)=cos^(2)theta` and `g(theta)=tan^(2)theta`, suppose `alpha` and `beta` satisfy `2f(alpha)-g(beta)=1`, then value of `2f(beta)-g(alpha)` is

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AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Section I (subjective Type questions)
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  7. If cos(theta - theta(1)) =1/(2sqrt(3)) and sin(theta-theta(2))=1/(3sqr...

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

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  9. If alpha and beta satisfy sinalpha cos beta=-1/2, then the greatest va...

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  10. If cos (pi/12) = (sqrt(2) + sqrt(6))/(4), then all x in (0,pi/2) such ...

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  11. In a DeltaABC if 3sinA+4 cosB=6, 4 sinB+3cosA=1 then possible value (s...

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  15. If A ={ theta : 2cos^2 theta + sintheta <=2} , and B = {theta: pi/2<=t...

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  16. Solve 4cot2theta=cot^2theta-tan^2theta

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  17. If 3tan(theta-15^0)=tan(theta+15^0)0<theta<90^0 , find theta .

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  18. If cos 2theta=(sqrt(2)+1)(cos theta-(1)/(sqrt(2))), then the general v...

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  19. Solve the equation sin^(2)ntheta - sin^(2)(n-1)theta = sin^(2)theta

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  20. Solve the equation tan x + (cosx)/(sqrt(1+sin2x))=2.

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