Q62 of 76 Page 52

Fill in the blanks

If then tan 2A = _______.

Given that,


Now,






= tan B


⇒ tan 2A = tan B


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60

Fill in the blanks

The value of is _______.

 61

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If k = sin ( pi /18 ) sin ( 5 pi /18 ) sin ( 7 pi /18 )then the numerical value of k is _________.

 63

Fill in the blanks

If sin x + cos x = a, then


(i) sin6 x + cos6x = _______


(ii) |sin x – cos x| = ______.

 64

Fill in the blanks

In a triangle ABC with ∠C = 90° the equation whose roots are tan A and tan B is ________.


[Hint: A + B = 90°⇒ tan A tan B = 1 and tan A + tan B ]