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The minimum vlaue of expresson sin alpha...

The minimum vlaue of expresson `sin alpha +sin beta + sin gamma` where `alpha, beta, gamma` are positive real numbers

A

0

B

`-3`

C

Negative

D

Possitive

Text Solution

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The correct Answer is:
D
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This section contains 2 questions. Each question contains STATEMENT-I (Assertion) and STATEMENT-2 (Reason). Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. Statement - 1 : The minimum value of the expression sin alpha + sin beta + sin gamma where alpha, beta , gamma are real numbers such that alpha + beta + gamma=pi , is negative because Statement - 2 : alpha, beta, gamma are angles of a triangle

The minimum value of the expression sin alpha + sin beta+sin lambda , where alpha,beta,lambda are real numbers satisfying alpha + beta + lambda = pi is

sin 2 alpha + sin 2 beta + sin 2 gamma - sin2(alpha + beta + gamma )=

cos alpha + cos beta + cos gamma + cos ( alpha + beta + gamma ) =

A vector makes angles alpha , beta and gamma with the X, Y and Z axes respectively. Find the value of the expression ( sin^2 alpha + sin^2 beta + sin^2 gamma)/( cos^2 alpha + cos ^2 beta + cos^2 gamma)

If tan beta=2 sin alpha sin gamma "cosec" (alpha+ gamma) then cot alpha, cot beta, cot gamma are in

If cos alpha + cos beta + cos gamma =3 , " then " sin alpha + sin beta + sin gamma =

If cos alpha + cos beta + cos gamma = 0 = sin alpha + sin beta + sin gamma then show that sin 3 alpha + sin 3 beta + sin 3 gamma = 3 sin ( alpha + beta + gamma)

If cos alpha + cos beta + cos gamma = 0 = sin alpha + sin beta + sin gamma then show that cos 3 alpha + cos 3 beta + cos 3 gamma = 3 cos ( alpha + beta + gamma)

AAKASH SERIES-TRANSFORMATIONS -PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)
  1. The minimum vlaue of expresson sin alpha +sin beta + sin gamma where a...

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  2. x = cos 55^(@), y = cos 65^(@), z= cos 175^(@) " then " xy+yz+ zx=

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  3. cos A =(3)/4 implies 32 sin""((A)/(2)) sin""((5A)/(2))=

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  4. The value of cos ^(2) 10^(@) cos 50^(@) + cos ^(2) 50^(@) is equal to

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  5. If x,y,z are non zero real numbers and if x cos theta=y cos (theta+(2p...

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  6. The value of sin ^(3) 10^(@) + sin ^(3) 50^(@) - sin ^(3) 70^(@) is eq...

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  7. cot 16^(@) cot 44^(@) + cot 44^(@) cot 76^(@) - cot 76^(@) cot 16^(@)=

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  8. The value of cot 70^(@) + 4 cos 70^(@) is

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  9. cosec ""(360^(@))/(7) + cosec "" (540^(@))/(7)=

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  10. Which of the following is not the value of sin 27^(@) - cos 27^(@) ?

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  11. sin "" (pi)/(14) .sin "" (3pi)/(14).sin"" (5pi)/(14).sin""(7pi)/(14).s...

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  12. Value of ( 3 + cot 80^(@) cot 20^(@))/(cot 80^(@) cot 20 ^(@)) is equ...

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  13. In a Quadrilateral ABCD, cos A.cosB + sin C sin D=

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  14. tan 9^(@) - tan 27^(@) - tan 63^(@) + tan 81^(@) =

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  15. (sin ^(2) A - sin ^(2) B)/( sin A cos A - sin B cos B) is equal to

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  16. ( sin 3 theta + sin 5 theta + sin 7 theta + sin 9 theta)/( cos 3 thet...

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  17. Let (sin(theta-alpha))/(sin(theta-beta))=(a)/(b) and (cos(theta-alpha)...

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  18. sin A + sin B = sqrt(3) ( cos B- cos A )implies sin 3A + sin 3B=

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  19. (sin (n +1) A + 2 sin n A + sin (n-1) A)/( cos ( n -1) A - cos (n +1) ...

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  20. If cos alpha+ cos beta= a, sin alpha+ sin beta= b and alpha- beta= 2 t...

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  21. If x and y are acute angles such that cos x+ cosy=(3)/(2) and sinx + s...

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