Question
If tan 15° = 2 –√3, what is the value of tan 15º
cot 75°+ tan 75º cot 15°.Solution
tan 15° × cot 75° + tan 75° × cot 15° = tan 15° × tan (90° - 15°) + cot (90° -75°) × cot 15° = tan 15° × tan 15° + cot 15° × cot 15° = (tan15°)2 + (cot 15°)2 Now, given tan 15° = 2 - √3 And cot 15° = 1/tan15° = 1/ (2 - √3) = 2 + √3 [on rationalizing] Thus, tan 15° × cot 75° + tan 75° × cot 15° = (tan15°)2 + (cot 15°)2 = (2 - √3)2 + (2 + √3)2 = 7 – 4√3 + 7 + 4√3 = 7 + 7 = 14
Which of the given figures when placed in the 5th position would continue the series that is established by the first four figures?
Select the figure from the alternatives which will complete the pattern in given question figure.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at varianc...
If the word 'EXAMINATION' is arranged in alphabetical order from the right end, then which of the following letter will be fourth letter to the right of...
Which figure should replace the question mark (?) if the series were to continue?
In each of the following questions, find out which of the answer figures can be formed from the pieces given in the problem figure.
Relevant for Exams:
