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The equation tan^4x-2sec^2x+a=0 will ha...

The equation `tan^4x-2sec^2x+a=0` will have at least one solution if

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To determine the conditions under which the equation \( \tan^4 x - 2 \sec^2 x + a = 0 \) has at least one solution, we can follow these steps: ### Step 1: Rewrite the equation Start with the original equation: \[ \tan^4 x - 2 \sec^2 x + a = 0 \] ...
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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
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  2. Prove that cos36^0cos72^0cos108^0cos144^0=1/(16)dot

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  3. The equation tan^4x-2sec^2x+a=0 will have at least one solution if

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  4. A tower P Q stands at a point P within the triangular park A B C such ...

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  5. The number of ordered pairs (x,y) satisfying |x|+|y|=2 and sin""((pi...

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  6. If tanbeta=(tanalpha+tangamma)/(1+tanalphatangamma)dot prove that sin...

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  7. Prove that a(bcosC-ccosB)=b^2-c^2

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  8. If 4sin^4x+cos^4x=1,then x is equal to (n in Z) (a)npi (b) npi+-...

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  9. If x+y+z=x y z prove that (2x)/(1-x^2)+(2y)/(1-y^2)+(2z)/(1-z^2)=(2x)/...

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  10. If in a triangle acos^2(C/2)+ c cos^2(A/2)=(3b)/2, then find the rela...

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  11. Evaluate cosacos2acos3a......... cos 999 a , where a=(2pi)/(1999)dot

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  12. If sin^3theta+sinthetacos^2theta=1,t h e ntheta is equal to (n in Z)...

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  13. Let ABC be a triangle of area 24sq.units and PQR be the triangle forme...

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  14. Find the number of pairs of integer (x , y) that satisfy the followin...

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  15. Prove that (4cos^2 9^0-3)(4cos^2 27^0-3)=tan9^0dot

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  16. Let A D be a median of the A B Cdot If A Ea n dA F are medians of ...

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  17. Find the value of cos12^0+cos84^0+cos156^0+cos132^0

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  18. If no solution of 3siny+12sin^3x=a lies on the line y=3x , then a in ...

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  19. If in a triangle P Q R ,sinP ,sinQ ,sinR a r e i n AdotPdot , then ...

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  20. Find the angle theta whose cosine is equal to its tangent.

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