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Prove that tan^2theta-sin^2theta=tan^2th...

Prove that `tan^2theta-sin^2theta=tan^2theta cdot sin^2theta`

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LHS:`tan^2theta-sin^2theta=(sin^2theta)/(cos^2theta)-sin^2theta=sin^2((1-cos^theta)/cos^2theta)`
`=sin^2theta.(sin^2theta)/cos^2theta=sin^2theta.tan^2theta`=RHS.(Proved).
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PATHFINDER-MEASUREMENT OF ANGLES & TRIGONOMETRIC FUNCTIONS -QUESTION BANK
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  2. Prove that tan^2theta-sin^2theta=tan^2theta cdot sin^2theta

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  3. Express 25^@ as radian measurement.

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  7. Solve for x :sintheta=x+1/x,x inR.

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  10. Evaluate cos^2((pi)/(3))+sin^2((pi)/6)-tan^2((pi)/4)

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  11. Find the degree measure of the angle subtended at the centre of a circ...

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  12. Prove that cos510^@cos330^@+sin390^@cos120^@=-1

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  13. Evaluate cosec(-1200^@).

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  14. In a DeltaABC.Prove that cos (A+B)+cosC=0.

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  15. Find x if cosec(90^@+theta)+xcostheta cot(90^@+theta)=sin(90+theta)

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  16. Prove that (1/(sec^2theta-cos^2theta)+1/(cosec^2-sin^2theta))sin^2thet...

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  17. If (cosecalpha-cotalpha)(cosecbeta-cotbeta)(cosecgamma-cotgamma)= (co...

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  18. If (ax)/costheta+(by)/(sintheta)=a^2-b^2 and (axsintheta)/(cos^2theta)...

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  19. If costheta+sintheta=sqrt2costheta, Prove that costheta-sintheta=sqrt2...

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