prove that is b square x square minus A square b square is equal to a square b square if x is equals to a sec v y is equals to be 10v and X is equals to a cosec v and Y is equal to cot b
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3
Answer:
Ab= by
Bx =2/3 zn
Therefore 10v =codec p
Step-by-step explanation:
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Hears the correct solution
Given, x = a cos theta and y = b sin theta. Substituting for x and y ,
b²x² + a²y² - a²b² = b²a² cos² theta + a²b² sin² theta - a²b²
= a²b² (cos² theta + sin² theta) - a²b²
= a²b² . 1 - a²b² (Using the trigonometric identity cos² theta + sin² theta = 1)
= a²b² - a²b² = 0 (Proved)
Given, x = a cos theta and y = b sin theta. Substituting for x and y ,
b²x² + a²y² - a²b² = b²a² cos² theta + a²b² sin² theta - a²b²
= a²b² (cos² theta + sin² theta) - a²b²
= a²b² . 1 - a²b² (Using the trigonometric identity cos² theta + sin² theta = 1)
= a²b² - a²b² = 0 (Proved)
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