Q66 of 76 Page 52

Fill in the blanks

Given x > 0, the values of lie in the interval _______.

We have,


Let


∴ f(x) = -3cosy


We know that, -1 ≤ cos y ≤ 1


⇒ -3 ≤ 3cosy ≤ 3


⇒ 3 ≥ -3cosy ≥ -3


⇒ -3 ≤ -3cosy ≤ 3



Hence,


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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 ]

 65

Fill in the blanks

3(sin x – cos x)4 + 6 (sin x + cos x)2 + 4(sin6 x + cos6 x) = _______.

 67

Fill in the blanks

The maximum distance of a point on the graph of the function from x-axis is _____.

 68

True and False

If tana = 1-cosb/sinbthen tan 2A = tan B.