Question

Tanø+secø =m then express sec ø in terms of m.

Answer 1

Heya !!!


Tan theta + Sec theta = m




Tan theta = ( m - sec theta)




On squaring both sides we get,



( Tan² theta ) = ( M - Sec theta )²




As we know that,


( A - B )² = (A)² + (B)² - 2AB



And,



Tan² theta - Sec² theta = 1



Tan² theta = ( Sec² theta - 1)


So,

Tan² theta = m² + sec² theta - 2× M × sec theta



Sec² theta - 1 = m² + Sec² theta - 2M sec theta




Sec² theta - Sec² theta - 1 = M² - 2M Sec theta



2M sec theta = ( M² + 1 )




Sec theta = ( M² + 1 / 2M )

★ HOPE IT WILL HELP YOU ★

Answer 2

Here is your answer

tan¢+sec¢ = m
tan¢ = m-sec¢
squaring both sides
(Tan²¢ ) = (m-sec¢)²
sec²¢-1 = m²+sec²¢-2msec¢
sec¢ = (m²+1/2m)


Hope it helps you ^_^