The value of tan 10° tan 15° tan 75° tan 80°. is
A. - 1
B. 0
C. 1
D. None of these
Answers
Answered by
0
Answer:
option D is the right answer
Answered by
0
C. 1
Step-by-step explanation:
Given: tan 10° tan 15° tan 75° tan 80°.
tan 10° tan 15° tan 75° tan 80° = tan 10°.tan 80°.tan 15°.tan 75°
As tan A = Cot (90-A), we get:
= Cot (90-10)°.tan 80°.cot(90-15)°.tan 75°
We know that cot a. tan a = 1, so we get:
= Cot 80°.tan 80°.cot 75°.tan 75°
= 1.1
= 1
Option C is the answer
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