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using x instead of theta...
(sin x)(tan x) + cos x = sec x
(sin x)(sin x/cos x) + cos x = 1/cos x multiply each part by cos x to get rid of fractions
(sin x)(sin x) + (cos x)(cos x) = 1
sin square x + cos square x = 1
1=1 pythagorean identity
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using x instead of theta...
(sin x)(tan x) + cos x = sec x
(sin x)(sin x/cos x) + cos x = 1/cos x multiply each part by cos x to get rid of fractions
(sin x)(sin x) + (cos x)(cos x) = 1
sin square x + cos square x = 1
1=1 pythagorean identity