Related InterviewSolutions

• In triangle `A B C ,`if `sinAcosB=1/4 and 3t a n A=t a n B ,t h e ncot^2A`is equal toA. 2B. 3C. 4D. 5
• The value of `(cos25^(@))/(sin70^(@)sin85^(@))+(cos70^(@))/(sin 25^(@)sin85^(@))+(cos85^(@))/(sin25^(@)sin70^(@))` isA. `1//2`B. 1C. 2D. `3//2`
• If `tantheta=a/b` , show that `(asintheta-bcostheta)/(asintheta+bcostheta)=(a^2-b^2)/(a^2+b^2)`
• In a triangle `tan A+ tan B + tan C=6` and `tan A tan B= 2,` then the values of `tan A, tan B` and `tan C` areA. 1,2,3B. `3,2//3,7//3`C. `4,1//2,3//2`D. none of these.
• If `cos x+cos y-cos(x+y)=(3)/(2)`, thenA. `x+y=0`B. x=2yC. x=yD. 2x=y
• If `alpha and beta` are non-zero real number such that `2(cos beta-cos alpha)+cos alpha cos beta=1.` Then which of the following is treu?A. `tan ((alpha )/(2)) + sqrt3 tan ((beta)/(2)) =0`B. `sqrt3 tan ((alpha)/(2)) + tan ((beta)/(2)) =0`C. `tan ((alpha )/(2)) - sqrt3 tan ((beta)/(2)) =0`D. `sqrt3 tan (( alpha )/(2)) - tan ((beta)/(2))= 0`
• In a `DeltaPQR`. if `3 sinP +4 cosQ=6` and `4sinQ+3cosP=1`, then the angle `R` is equal to:A. `( 5pi)/(6)`B. `(pi)/(6)`C. `(pi)/(4)`D. `(3pi)/(4)`
• If `A = sin^2x + cos^4 x`, then for all real x :A. `(3)/(4) le A le (13)/(16)`B. `(3)/(4) le A le 1`C. `(13)/(16) le A le 1`D. `1 le A le 2`
• Let `A and B` denote the statements `A : cos alpha + cos beta + cos gamma =0` `B : sin alpha + siin beta + sin gamma = 0` If `cos(beta - gamma) + cos (gamma -alpha) + cos (alpha -beta) = - (3)/(2)`, thenA. `A` is true and `B` is false.B. `A` is false and `B` is true.C. Both `A and B` are true.D. Both `A and B` are false.
• If `alpha,beta,gamma,delta` are the four solutions of the equation `tan(theta+pi/4)=3 tan 3theta.` No two of which have equal tangents, then the value of `tan alpha+tan beta+tan gamma+tan delta=`A. `1//3`B. `8//3`C. `-8//3`D. 0