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7. Values of Trigonometric Functions at Sum of Difference of Angles
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Q20 of 90 Page 7

If tanA = tanB, prove that .

Given tanA = x tanB


LHS


We know that sin(A ±B) = sinA cosB ± cosA sinB



Dividing numerator And denominator by cosA cosB,






= RHS


Hence, proved.


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Prove that:

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If , show that .

21

If tan(A +B) = And tan(A -B) = y, find the values of tan 2A And tan 2B.

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If CosA + SinB = m And SinA + CosB = n, prove that 2 Sin(A +B) = m2 + n2 – 2.

Questions · 90
7. Values of Trigonometric Functions at Sum of Difference of Angles
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