sin a upon 1 plus cos a plus cos a upon 1 plus tan a equal to sin a minus cos a prove
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Answer:
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Step-by-step explanation:
Show: tan θ cos θ = sin θ.
Solution: The problem means that we are to write the left-hand side, and then show, through substitutions and algebra, that we can transform it to look like the right hand side.
We begin:
 =  on applying the tangent identity, =  on canceling the cos θ 's.
We have arrived at the right-hand side.
Pythagorean identities
a) sin2θ + cos2θ = 1. b)1 + tan2θ = sec2θ c)1 + cot2θ = csc 2θ a')sin2θ = 1 − cos2θ. cos2θ = 1 − sin2θ.
These are called Pythagorean identities, because, as we will see in their proof, they are the trigonometric version of the Pythagorean theorem.
The two identities labeled a') -- "a-prime" -- are simply different versions of a). The first shows how we can express sin θ in terms of cos θ; the second shows how we can express cos θ in terms of sin θ.
Note: sin2θ -- "sine squared theta" -- means (sin θ)2.
Problem 3. A 3-4-5 triangle is right-angled.

a) Why?
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It satisfies the Pythagorean theorem.
b) Evaluate the following:
sin2θ=16
25 cos2θ= 9
25 sin2θ + cos2θ