if sec theta + tan theta is equal to 22 upon 7 and cosec A + cot a is equal to M upon N and where m and n are a lowest term find the value of M + n
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Step-by-step explanation:
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Step-by-step explanation:
sec x = 1/cos x
tan x = sin x/cos x
sec x + tan x = (1 + sin x)/cos x
So, we can say that 1+sin x = 22, and cos x = 7
cosec x = 1/sin x
cot x = cos x/sin x
cosec x + cot x = (1+cos x)/sin x
From above, 1+cos x = 1+7 = 8
sin x we can write as (1 + sin x) - 1 = 22 - 1 = 21
So, cosec x + cot x = (1+cos x)/sin x = 8/21 = m/n
So, m+n = 8+21 = 29.
Thats it
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