Question

If a cotθ + b cosecθ = p and b cotθ + a cosecθ = q , than p² - q² is:-​

Answer 1

Answer:

hope this will help you

answer is : b²-a²

Answer 2

Answer:

acotθ+bcscθ=p

           bcotθ+acscθ=q

⇒p

2

−q

2

=(p−q)(p+q)

                   =[acotθ+bcscθ−bcotθ−acscθ][acotθ+bcscθ+bcotθ+acscθ]

                   =[cotθ(a−b)−cscθ(a−b)][cotθ(a+b)+cscθ(a+b)]

                   =(a−b)(cotθ−cscθ)(a+b)(cotθ+cscθ)

                   =(a

2

−b

2

)(cot

2

θ−csc

2

θ)

                   =(−1)(a

2

−b

2

)[∵csc

2

θ−cot

2

θ=1]

                   =(b

2

−a

2

)

Step-by-step explanation:

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