Question

Sec theta minus tan theta equals to p find cosec theta

Answer 1

Given =Secθ–tanθ= P

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tanθ= Secθ–P

Sinθ/Cosθ= Secθ–P

Sinθ= Cosθ(secθ–P)

Sinθ= 1–PCosθ.,.. [cosθ×secθ=1]___(1)

Let suppose it be equation (1)

Now According to the question.

we have to find Cosecθ

So, Cosecθ= 1/sinθ

===>Cosecθ=1/1–Pcosθ..[from eq.(1)]

Also,

=> Cosecθ= 1/1—1/Pcosθ

==> Cosecθ= 1—Psecθ

Answer====>>>> 1– Psecθ

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