if secФ + tanФ = p , then find the value of cosecФ
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Step-by-step explanation:
1 / cos Q + sin Q / cos Q = p
( 1 + sin Q ) / cos Q = p
1 + sin Q = p cos Q
1 + sin Q = p √( 1 - sin² Q )
p = ( 1 + sin Q )/√( 1 - sin² Q ) /²
p² = ( 1 + sin Q )² / ( 1 - sin Q ) ( 1 + sin Q ). After cancelling 1 + sin Q :
p² = ( 1 + sin Q ) / ( 1 - sin Q )
1 + sin Q = p² - p² sin Q
sin Q ( p² + 1 ) = p² - 1
sin Q = ( p² - 1 ) / ( p² + 1 )
cosec Q = 1 / sin Q = ( p² + 1 ) / ( p² - 1 )
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