Math, asked by saurabhvadhel000, 4 months ago

numerator and denominator and it becomes
Find the fraction.
5
If tan 0 + sin 0 = p and tan 0 - sin 0 = q prove that p2 - q* = 4 pq​

Answers

Answered by princeuplucky123449
0

Answer:

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Step-by-step explanation:

From given relation

p

sinθ

=

q

cosθ

=

p

2

+q

2

sin

2

θ+cos

2

θ

=

p

2

+q

2

1

Now putting for p in the q in the L.H.S., we have

L.H.S=

(p

2

+q

2

)

[

sinϕ

sinθ

cosϕ

cosθ

]=

(p

2

+q

2

)

sinϕcosϕ

sin(θ−ϕ)

=

(p

2

+q

2

)

.2

sin2ϕ

sin(3ϕ−ϕ)

=

p

2

+q

2

∵θ=3ϕ

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