if sin=cos then find the valle of 2tan² +sin²-1
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Answer:
Answer is 3/2
Step-by-step explanation:
if sinx=cosx ,this means that x=π/4 or 2nπ+π/4, because sinx and cosx are equal only at π/4 or 45° where sin45°=cos45°=1/√2
Therefore,
x=45° or [(360n)+45]°(where, n is Natural number)
That means, x=π/4 or 2nπ+π/4(where n is Natural number)
Putting x=45°, we get:
tan45°=1 , sin45°=1/√2
squared tan45°=1 , squared sin45°=1/2
So expression becomes,
2*(1)+(1/2)-1
=1+1/2=3/2
Answer is 3/2
Step-by-step explanation:
if sinx=cosx ,this means that x=π/4 or 2nπ+π/4, because sinx and cosx are equal only at π/4 or 45° where sin45°=cos45°=1/√2
Therefore,
x=45° or [(360n)+45]°(where, n is Natural number)
That means, x=π/4 or 2nπ+π/4(where n is Natural number)
Putting x=45°, we get:
tan45°=1 , sin45°=1/√2
squared tan45°=1 , squared sin45°=1/2
So expression becomes,
2*(1)+(1/2)-1
=1+1/2=3/2
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