Home
Class 11
MATHS
(a+2)sinalpha+(2a-1)cosalpha=(2a+1) if ...

`(a+2)sinalpha+(2a-1)cosalpha=(2a+1)` if `tanalpha`=

A

`(3)/(4)`

B

`(4)/(3)`

C

`(2a)/(a^(2)+1)`

D

`(2a)/(a^(2)-1)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
Promotional Banner

Similar Questions

Explore conceptually related problems

If cosalpha+cosbeta=0=sinalpha+sinbeta,cos2alpha+cos2beta is equal to a) -2sin(alpha+beta) b) 2cos(alpha+beta) c) 2sin(alpha-beta) d) -2cos(alpha+beta)

Evaluate |[cosalpha cosbeta,cosalpha sinbeta,-sinalpha],[-sinbeta,cosbeta,0],[sinalpha cosbeta,sinalpha sinbeta,cosalpha]|

If f(alpha,beta)=|(cosalpha,-sinalpha,1),(sin alpha,cosalpha,1),(cos(alpha+beta),-sin(alpha+beta),1)| , then a) f(300,200) ne f(400, 200) b)f(200,400) = f(200,600) c)f(100,200) =f(200,200) d)None of these

If A_(alpha)=[(cos alpha,sinalpha),(-sinalpha,cosalpha)] then A_(alpha) A_(beta) is equal to A) A_(alpha beta) B) A_(alpha +beta) C) A_(alpha - beta) D)None of these

The value of int_(0)^(pi//2)sin|2x-alpha|dx , where alphain[0,pi] , is a) 1-cosalpha b) 1+cosalpha c)1 d) cosalpha

int(1)/(sqrt(sin^(3)xsin(x+alpha)))dx,alpha!=npi,nin Z is equal to a) -2" cosec "alpha(cosalpha-tanxsinalpha)^(1//2)+C b) -2(cosalpha+cotxsinalpha)^(1//2)+C c) -2" cosec "alpha(cosalpha+cotxsin alpha)^(1//2)+C d) -2" cosec "alpha(sinalpha+cotxcosalpha)^(1//2)+C

The maximum value of (cosalpha_(1))(cosalpha_(2))...(cosalpha_(n)) under the restrictions 0lealpha_(1),alpha_(2),...,alpha_(n)lepi//2and(cotalpha_(1))(cotalpha_(2))...(cotalpha_(n))=1 is

If cos^-1(x//a)+cos^-1(y//b)=alpha , Prove that x^2/a^2-(2xy)/(ab)cosalpha+y^2/b^2=sin^2alpha

If costheta=(cosalpha-cosbeta)/(1-cosalphacosbeta) . prove that one of the value of "tan"(theta)/(2) is "tan"(alpha)/(2)"cot"(beta)/(2) .