Question

a vector = 1 unit and vector b vector = 5 units and angle between a and b is 37 degree find Resultant and tan alpha??​

Answer 1

Answer:

angle α which the resultant R makes with A is given by

tanα=A+BcosθBsinθ

or cos(θ/2)sin(θ/2)=A+Bcosθ2Bsin(θ/2)cos(θ/2)

which gives A+Bcosθ=2Bcos2(2θ)

or A+B[2cos2(2θ)−1]=2Bcos2(2θ)

A=B