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If cosP=1/7a n d\ cos Q=(13)/(14)w h e r...

If `cosP=1/7a n d\ cos Q=(13)/(14)w h e r e\ P\ a n d\ Q` both are acute angles. Then, the value of `P-Q` is `30^0` b. `60^0` c. `45^0` d. `75^0`

Text Solution

Verified by Experts

Given,

`cos P = 1/7`

Using the identity`sin2A + cos2A = 1,`

`sin P = √(1 – 1/49) = √(48/49) = (√48)/7`

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