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Let L be the line of intersection of t...

Let L be the line of intersection of the planes `2x""+""3y""+""z""=""1` and `x""+""3y""+""2z""=""2` . If L makes an angles ` alpha ` with the positive x-axis, then cos` alpha ` equals

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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Solve (sqrt(5)-1)/(sinx)+(sqrt(10+2sqrt(5)))/(cosx)=8,x in (0,pi/2)

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  2. Prove that cos(2pi)/(15)cos(4pi)/(15)cos(8pi)/(15)cos(14pi)/(15)=1/(16...

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  3. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

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  4. If sin(120° – α) = sin(120° – β) and 0 < α, β < π then find the relati...

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  5. Solve cosxcos2xcos3x=1/4

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  6. Prove that: sin6^(@)sin42^(@)sin66^(@)sin78^(@)=1/16

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  7. Find the sign of the values of tan113^0-cos107^0=a and tan107^0-cos105...

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  8. Solve the equation (sqrt(3))/2sinx-cosx=cos^2x

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  9. Each equation contains statements given in two columns which have to b...

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  10. If xsina+ysin2a+zsin3a=sin4a xsinb+ysin2b+zsin3b=sin4b, xsinc+ysin2c...

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  11. Prove that (sin-cosx+1)/(sinx+cosx-1)=secx+tanx

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  12. The lengths of the medians through acute angles of a right-angled tr...

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  13. If 2tan^2x-5secx=1 is satisfied by exactly seven distinct values of x ...

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  14. In triangle A B C ,tanA+tanB+tanC=6a n dtanAtanB=2, then the values o...

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  15. If 2cosx+sinx=1, then find the value of 7cosx+6sinxdot

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  16. If sinx+sinygeqcosacosxAA in R , then siny+cosa is equal to

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  17. If alpha,beta,gamma are acute angles and costheta=sinbeta//sinalpha,co...

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  18. In triangle ABC, if cotA⋅cotC= 1 / 2 and cotB⋅cotC= 1 / 18 , then ...

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  19. Find the values of xa n dy for which cosec theta=(x^2-y^2)/(x^2+y^2) i...

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  20. The set of all x in the interval [0,pi] for which 2sin^2x-3sinx+1geq0 ...

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