Trigonometry> ( * ) If ax / cos theta + by /sin theta =...

( * )
If ax / cos theta + by /sin theta = a square – b square and ax sin theta / cos square theta – by cos theta / sin square theta = 0 then (ax)^2/3 + (by)^2/3 =

laxman , 11 Years ago

Grade 11

2 Answers

Nishant Vora

Hello student, Please find the answer to your question below
ax / cosØ + by /sinØ = a² – b²
ax sinØ / cos ²Ø – by cosØ / sin ² Ø = 0

Equation numner is 2 is not proper...
Please send the correct question

Last Activity: 11 Years ago

Piyush

From the second relation

axsinø/cos²ø - bycosø/sin²ø = 0

axsin³ø-bycos³ø/cos²øsin²ø = 0

axsin³ø-bycos³ø=0

axsin³ø=bycos³ø

tan³ø=by/ax

tanø=by^1/3/ax^1/3

sinø=by^(1/3)/[(ax)^2/3 + (by)^2/3]^1/2

( By using 2tanø/2/1+tanø/2 for sinø )

Similarly cosø=(ax)^1/3/[(ax)^2/3 + (by)^2/3]^1/2

( By using 1-tan²ø/2/1+tan²ø/2 )

Put sinø and cosø in 1st relation

Answer is : (a²-b²)^2/3

Last Activity: 5 Years ago

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Trigonometry> ( * ) If ax / cos theta + by /sin theta =...

( * )If ax / cos theta + by /sin theta = a square – b square and ax sin theta / cos square theta – by cos theta / sin square theta = 0 then (ax)^2/3 + (by)^2/3 =

laxman , 11 Years ago

Nishant Vora

Piyush

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