1.

bcote, thenQ.14. If x-acosecθ and yprove that:1.

Answer»

Let theta = AThen,x = acosecAx/a = cosecA..... (1)

y = bcotAy/b = cotA...........(2)

Squaring eq(1) and eq(2), x^2/a^2 = cosec^2 A.... (3)y^2/b^2 = cot^2 A......... (4)

Subtract eq(3) from eq(4)

x^2/a^2 - y^2/b^2 = cosec^2 A - cot^2 A= 1

Hence proved



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