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If tan((theta)/(2))=5/2and tan((phi)/(2)...

If `tan((theta)/(2))=5/2and tan((phi)/(2))=3/4,` the value of `cos(theta+phi),` is

A

`- ( 364)/( 725)`

B

`- ( 627)/( 725)`

C

`-(240)/( 339)`

D

none of these

Text Solution

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The correct Answer is:
B
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ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (4) ( MULTIPLE CHOICE QUESTIONS)
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  3. If tan((theta)/(2))=5/2and tan((phi)/(2))=3/4, the value of cos(theta+...

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  4. If 2 cos theta = x + ( 1)/( x) , 2 cos phi = y + ( 1)/( y ), then cos...

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  5. sin 12^(@) sin 48^(@) sin 54^(@) is equal to

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  8. cos 0 + cos"" ( pi )/( 7 ) + cos "" ( 2pi )/(7) + cos"" ( 3pi)/(7)+ co...

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  9. The value of cos""(pi)/(11)+cos""(3pi)/(11)+cos""(5pi)/(11)+cos""(7pi)...

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  10. The average of sin 2^(@) , sin 4^(@) , sin 6^(@),"….." sin180^(@) is

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  11. Let z = cos theta + isin theta. Then the value of sum(m=1)^(15) Im(z^(...

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  12. sin"" (pi )/( n ) + sin "" ( 3pi)/( n ) + sin"" ( 5pi)/( n ) +"…."n te...

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  13. sum(r=1)^(n-1)sin^(2)"" (r pi )/( n ) equals

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  14. Given that ( 1+ sqrt( 1+ y )) tan y = 1+sqrt( 1-y) Then sin 4y is equ...

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  15. For a positive integer n, let f(n) ( theta ) = ( tan "" ( theta )/( 2)...

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  16. If 0^(@) lt theta lt 180^(@) , then sqrt( 2+ sqrt( 2+ sqrt("..."+ sqrt...

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  17. The minimum value of tan B tan C in an acute angled triangle ABC is

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  18. If u=(1+cos theta)(1+cos 2theta)-sin theta.sin 2theta, v=sin theta(1+c...

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  19. If t(1) = ( tan x )^(cot x ) , t(2) = ( cot x ) ^(cot x ), t(3) = ( ta...

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  20. If u = sqrt( a^(2) cos^(2) theta + b^(2) sin^(2) theta ) + sqrt( a^(2)...

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