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Question

If sinθ=ab, show that (secθ+tanθ)=mb+amba..Find m

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Solution

sinθ=ab=PH (Refer to Image)
B=b2a2
secθ=1cosθ=HB=bb2a2
tanθ=sinθcosθ=abb2a2b=ab2a2
(secθ+tanθ)=bb2a2+ab2a2
=b+ab2a2
=(b+a)2b2a2
=(b+a)2(ba)(b+a)
b+aba=mb+amba
m=1

1005774_1044776_ans_a105299b2d4d4bbdbe7a4300515205b1.png

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