Question

1. Find the value of tan (-111/3)​

Answer 1

Answer:

Step-by-step explanation:

For all values of the angle A we know that, 2 sin2 A2 = 1 - cos A

Again, for all values of the angle A we know that, 2 sin A2 cos A2 = sin A

Now tan 11¼°

= sin11¼°cos11¼°

= sin11¼°cos11¼° × 2sin11¼°2sin11¼°

 

= 2sin211¼°2sin11¼°cos11¼°

= 1−cos22½°sin22½°

= 1−1+cos45°2√1−cos45°2√

= 2√−1+cos45°√1−cos45°√

= 2√−1+12√√1−12√√

= 2√−2√+12√√2√−12√√

= 22√√−2√+1√2√−1√

= 22√√−2√+1√2√−1√ × 2√+1√2√+1√

= 22√√⋅2√+1√−(2√+1)2√(2√+1)(2√−1)√

= 22√(2√+1)√−(2√+1)2−1√

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