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If sinA/sinB=pand cosA/cosB=q then find ...

If `sinA/sinB=p`and `cosA/cosB=q` then find the value of tanA and tan B

Text Solution

Verified by Experts

`sinA/sinB = p and cosA/cosB = q`
`:. p/q = sinA/sinB**cosB/cosA = tanA/tanB`
`=>tanA/p = tanB/q`
Let `tanA/p = tanB/q = k`
`=>tanA = pk and tanB = qk`
Now, `sinA/sinB = p`
`=>sinA = p sinB`
`=> tanAcosA = p(tanBcosB)`
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