(1+tan+sec)(1+cot -cosec)=
Answers
Answered by
2
Answer:
1+cot x- cosec x)(1 + tan x + sec x)
=[1 + (cos x/sin x) - (1/sin x)][1 + (sin x/cos x) + (1/cos x]
=[sin x + cos x - 1][cos x + sin x + 1]/[sin x cos x]
= [(sin x + cos x)^2 - 1]/[sin x cos x]
= [sin^2 x + 2sin x cos x + cos^2 x -1]/[sin x cos x]
= [1 + 2sin x cos x -1]/[sin x cos x]
= 2[sin x cos x]/[sin x cos x]
= 2
Similar questions