If A is an acute angle and sinA = cosA, find the value of : 2 tan2A + sin2A – 1.
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Answer is 2infinity or 2undefined.
Procedure:
given that sinA=cosA where A is acute angle.
we know that 45° is the only acute angle will get same value for both sin and cos.So the value of A=45°.
SUBSTITUTING A IN GIVEN 2tan2A+sin2A-1
this gives 2×tan(45°×2)+sin(2×45°)-1
2×infinity(or)undefined+1-1(where tan90°=infinity and sin 90°=1)
therefore the answer is 2times infinity or undefined....
HOPE THIS HELPS......
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