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If the sides of a right angled triangle ...

If the sides of a right angled triangle are
`{cos 2 alpha + cos 2 beta + 2 cos (alpha+beta)}` and
`{sin 2 alpha+sin 2 beta + 2 sin (alpha+beta)}` then the length of the hypotneuse is

A

`2[1+cos(alpha-beta)}`

B

`2[1-cos(alpha+beta)]`

C

`4cos^(2)(alpha-beta)/2`

D

`4sin^(2)(alpha+beta)/2`

Text Solution

Verified by Experts

The correct Answer is:
A, C
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AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section-C (Objective Type Questions More than one options are correct )
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  2. If sintheta=K, -1<=K<=1 then number of values of theta for same value ...

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  3. If the sides of a right angled triangle are {cos 2 alpha + cos 2 bet...

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  6. If 4costheta-3sectheta=2tantheta, then theta is equal to

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  7. If alpha in [-2pi, 2pi] and cos.(alpha)/(2)+sin.(alpha)/(2)=sqrt(2)(co...

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  8. If sintheta= a for e xactly one value of theta in [0,(7pi)/3], then ...

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  9. If sin theta+sqrt(3)costheta=6y-y^2-11 ,theta in [0, 4pi], y in R ho...

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  11. (1-tanx)/(1+tanx)=tanyandx-y=pi/6,t h e nx , y

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  12. The possible value of theta in [-pi, pi] satisfying the equation 2(co...

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  13. The number of all possible triplets (p, q, r) such that p + qcos2theta...

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  14. sinalpha*sin(60-alpha)sin(60+alpha) = 1/4*sin3alpha

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  15. The co-ordinates of points of intersection of the curves y = cosx and ...

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  16. A value of theta satifying 4costheta sintheta - 2sintheta =0 is

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  17. The equation sinx+sin2x+2sinxsin2x=2cosx+cos2x is satisfied by values ...

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  18. The solution set of sin 3theta + cos 2theta -2=0 is

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  19. The general solution of the equation 2^(cos2x)+1=3*2^(-sin^2x) is

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  20. If (m + 2) sintheta + (2m-1) costheta = 2m+1, then

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