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(a+2)sinalpha+(2a-1)cosalpha=(2a+1)iftan...

`(a+2)sinalpha+(2a-1)cosalpha=(2a+1)iftanalpha"i s"` `3/4` (b) `4/3` (c) `2a(a^2+1)` (d) `2a(a^2-1)`

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(a+2)sinalpha+(2a-1)cosalpha=(2a+1)iftanalpha"i s" (a) 3/4 (b) 4/3 (c) 2a(a^2+1) (d) (2a)/(a^2-1)

4 1/3-2 1/3= (a) 2 1/3 (b) 2 (c) 3 1/3 (d) 1/2

If A=[[cosalpha,-sinalpha],[sinalpha,cosalpha]] , then A+A^(prime)=I , if the value of alpha is (A) pi/6 (b) pi/3 (c) pi (d) (3pi)/2

If π<α<3π2 then sqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cosalpha)/(1-cosalpha)) is equal to (a) 2/(sinalpha) (b) -2/(sinalpha) (c) 1/(sinalpha) (d) -1/(sinalpha)

Givent that pi/2 lt alphaltpi then the expression sqrt((1-sinalpha)/(1+sinalpha))+sqrt((1+sinalpha)/(1-sinalpha)) (A) 1/(cosalpha) (B) - 2/(cosalpha) (C) 2/(cosalpha) (D) does not exist

Find the adjoint of the following matrices: [(cosalpha,sinalpha),(sinalpha,cosalpha)] (ii) [(1,tanalpha//2),(-tanalpha//2, 1)] Verify that (a d j\ A)A=|A|I=A(a d j\ A) for the above matrices.

If sinalpha-sinbeta=1/3andcosbeta-cosalpha=1/2, show that cot(alpha+beta)/2=2/3

The factors of 8a^3+b^3-6a b+1 are (a) (2a+b-1)(4a^2+b^2+1-3a b-2a) (b) (2a-b+1)(4a^2+b^2-4a b+1-2a+b) (c) (2a+b+1)(4a^2+b^2+1-2a b-b-2a) (d) (2a-1+b)(4a^2+1-4a-b-2a b)

If 5tanalpha=4 , show that (5sinalpha-3cosalpha)/(5sinalpha+2cosalpha)=1/6

If (2sinalpha)/(1+cosalpha +sinalpha)=y , then prove that (1-cosalpha+sinalpha )/(1+sinalpha) is also equal to y.

ALLEN-TRIGONOMETRIC EQUATION-All Questions
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  2. If 4cos^2theta+sqrt(3)=2(sqrt(3)+1) costheta, then general value of th...

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  3. (a+2)sinalpha+(2a-1)cosalpha=(2a+1)iftanalpha"i s" 3/4 (b) 4/3 (c) ...

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  4. If theta(1), theta(2), theta(3), theta(4) are roots of the equation "s...

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  5. The number of solution(s) of the equation cos2theta=(sqrt(2)+1)(cos...

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  11. The general solution of the following equation : 2(sinx-cos2x)-sin2...

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  12. The value(s) of theta, which satisfy the equation : 2cos^3 3theta+4=...

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  13. If x!=(kpi)/2,\ k in I and (cosx)^( sin^2x-3sinx+2=1 , then all solut...

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