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If x=(sin^3P)/cos^2P,y=cos^3P/sin^2P" an...

If `x=(sin^3P)/cos^2P,y=cos^3P/sin^2P" and " sinP+cosP=1/2` then find the value of x + y.

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To solve the problem, we need to find the value of \( x + y \) given: \[ x = \frac{\sin^3 P}{\cos^2 P}, \quad y = \frac{\cos^3 P}{\sin^2 P}, \quad \text{and} \quad \sin P + \cos P = \frac{1}{2} \] ### Step 1: Write the expression for \( x + y \) ...
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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
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  2. Prove that cosalpha+cosbeta+cosgamma+cos(alpha+beta+gamma)=4cos((alpha...

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  3. If x=(sin^3P)/cos^2P,y=cos^3P/sin^2P" and " sinP+cosP=1/2 then find th...

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  4. Number of solution(s) of the equation (sinx)/(cos3x)+(sin3x)/(cos9x)+(...

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  5. Prove that: (sinA+s in3A+sin5A+sin7A)/(cosA+cos3A+cos5A+cos7A)=tan4A

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  6. Prove that (r+r1)tan((B-C)/2)+(r+r2)tan((C-A)/2)+(r+r3)tan((A-B)/2)=0

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  7. (a+2)sinalpha+(2a-1)cosalpha=(2a+1)iftanalpha"i s" (a) 3/4 (b) 4...

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  10. Let A B C be a triangle with incentre at I Also, let P and Q be the fe...

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  11. Let f(x)=log(log)(1/3)((log)7(sinx+a))) be defined for every real valu...

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  13. In A B C , on the side B C ,D and E are two points such that B D=D E=...

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  14. If sintheta1+sintheta2+sintheta3=3, then costheta1+costheta2+costheta...

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  15. Number of integral values of a for which the equation cos^2x-sinx+a=0 ...

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  17. A circle of radius 4cm is inscribed in A B C , which touches the side...

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  18. If sin^2theta=(x^2+y^2+1)/(2x) , then x must be -3 (b) -2 (c) 1...

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  19. If cos4x=a0+a1cos^2x+a^2cos^4x is true for all values of x in R , the...

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  20. If A B C ,sinC+cosC+sin(2B+C)-cos(2B+C)=2sqrt(2.) Prove that A B C ...

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