Math, asked by pabitrabarik39, 11 months ago

if sin(a) = x cos(b) and cos(a)= y sin(b)
then (x²-1) cot²b + (y²-1)cot²a is
equal to​

Answers

Answered by Pranavdeep
0

Step-by-step explanation:

x=sina/cosb

y=sinb/cosa

(x2-1)cot2b + (y2-1)cot2a

(sin2a/cos2b-1)cot2b + (sin2b/cos2a-1)cot2a

(sin2a-cos2b/cos2b)cos2b/sin2b + (sin2b-cos2a/cos2a) cos2a/sin2a

sin2a-cos2b/sin2b + sin2b-cos2a/sin2a

(2sin2a.sin2b + cos2a.sin2b +cos2b.sin2a)/sin2a.sin2b

Answered by sardarg41
0

Answer:x=sina/cosb

y=sinb/cosa

(x2-1)cot2b + (y2-1)cot2a

(sin2a/cos2b-1)cot2b + (sin2b/cos2a-1)cot2a

(sin2a-cos2b/cos2b)cos2b/sin2b + (sin2b-cos2a/cos2a) cos2a/sin2a

sin2a-cos2b/sin2b + sin2b-cos2a/sin2a

(2sin2a.sin2b + cos2a.sin2b +cos2b.sin2a)/sin2a.sin2b

Step-by-step explanation:

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