If a -b cosec-p and b -a cosec-q- then p2-q2-a a2-b2b b2-a2c a2-b2d b-a

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Mathematics

Trigonometric Ratios

If a θ+b cose...

Question

If a cot θ + b cosec θ = p and b cot θ − a cosec θ = q, then p² − q² =

(a) a²− b²
(b) b² − a²
(c) a² + b²
(d) b − a

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Solution

Given:

Squaring both the equations and then subtracting the second from the first, we have

Hence, the correct option is (b).

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If a cot θ + b cosec θ = p and b cot θ − a cosec θ = q, then p2 − q2 = (a) a2 − b2 (b) b2 − a2 (c) a2 + b2 (d) b − a

Given: Squaring both the equations and then subtracting the second from the first, we have Hence, the correct option is (b).

If a cot θ + b cosec θ = p and b cot θ − a cosec θ = q, then p² − q² =

(a) a²− b²
(b) b² − a²
(c) a² + b²
(d) b − a

Given:

Squaring both the equations and then subtracting the second from the first, we have

Hence, the correct option is (b).