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UPSC CDS Math Trigonometric Ratios and Trigonometric Identities Questions
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© examsnet.com
Question : 7
Total: 107
What is the value of
tan 1° tan 2° tan 3°.........tan 89° ?
[2019 CDS-I]
0
1
2
∞
Validate
Solution:
tan 89° = tan (90° – 1°) = cot 1°
Similarly, tan 88° = cot 2°, and so on
Therefore, the given expression:
= tan 1°.tan 2° .tan3°.....tan 44°.tan 45°.cot 44°. ...cot 3° cot2° cot 1°
= tan 45° = 1
© examsnet.com
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