Question

Tan80-tan10/tan70=how much
1) 0
2) 1
3) 2
4) 3

Answer 1

Answer:

0

Step-by-step explanation:

if we sub tan80-tan10 its tan70

Answer 2

➸ Given:-

$\Large{\bold{\frac{tan80°-tan10°}{tan70°}}}$

• 0
• 1
• 2
• 3

☣ To Find:-

• The Value.

☢ Solution:-

$→\;\sf{\frac{tan80°-tan10°}{tan70°}}$

$→\;\Large\sf{\frac{\frac{sin80°}{cos80°}-\frac{sin10°}{cos10°}}{\frac{sin70°}{cos70°}}}$

$→\;\Large\sf{\frac{\frac{(sin80°cos10°-sin10°cos80°}{cos80°cos10°}}{\frac{sin70°}{cos70°}}}$

$→\;\Large{\sf{\frac{sin(80°-10°).cos70°}{cos80°cos10°sin70°}}}$

$→\;\Large{\sf{\frac{sin70°cos70°}{cos80°cos10°sin70°}}}$

$→\;\Large{\sf{\frac{cos70°}{cos80°cos10°}}}$

$→\;\Large{\sf{\frac{cos(80°-10°)}{cos80°cos10°}}}$

$→\;\Large{\sf{\frac{\cancel{cos80°cos10°}+sin80°sin10°}{\cancel{cos80°cos10°}}}}$

$→\;\sf{1+tan80°tan10°}$

$→\;{\sf{1+tan(90°-10°) tan 10°}}$

$→\;{\sf{1+cot10°tan10°}}$

$→\;{\sf{1+1}}$

$➝\;\bf{2}$

• $\bold{Option-3}\;→\;\Large{\red{\bf{2}}}$

$\boxed{\tt{@MrMonarque}}$

Hope It Helps You ✌️