The value of tan10°. tan15°. tan75°. tan80° is?
A. 0
B. 1
C. -1
D. 2
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & \tan {10^ \circ }.\tan {15^ \circ }.\tan {75^ \circ }.\tan {80^ \circ } \cr & \Rightarrow \left( {\tan {{10}^ \circ }.\tan {{80}^ \circ }} \right).\left( {\tan {{15}^ \circ }.\tan {{75}^ \circ }} \right) \cr & \Rightarrow 1 \times 1 \cr & \left[ {{\text{If tan A}}{\text{.tan B}} = {\text{1}}{\text{. then, A}} + {\text{B}} = {{90}^ \circ }} \right] \cr & \Rightarrow 1 \cr} $$Join The Discussion
Comments ( 1 )
Related Questions on Trigonometry
A. x = -y
B. x > y
C. x = y
D. x < y
How to possible ans 1
I think this question and is infinite
Because tan90 is infinite.
Plz clear my confusion sir..