Proving Trigonometric Identities for sec, tan, cos and sin
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Prove
sec 2A + tan 2A = (cos A + sin A)/ (cos A - sin A)
Express this as a sum of 2 trigo functions
2(siny)(sin5y)
Prove
(sin2A)^2 - (sinA)^2 = (sinA)(sin3A)
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Trigonometric identities are proven. The solution is detailed and well presented.
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Prove
1) sec 2A + tan 2A = (cos A + sin A)/ (cos A - sin A)
2) Express this as a sum of 2 trigo functions= 2(siny)(sin5y)
3)Prove (sin2A)^2 - (sinA)^2 = (sinA)(sin3A)
Solution:
1) Taking the left hand side first we get,
LHS => sec2A + tan2A =
Taking LCD as 'cos2A', we get:
------- (1)
Taking right hand side
and ...
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