Home
Class 12
MATHS
Prove that tan 70^(@)=cot70^(@)++2cot40^...

Prove that `tan 70^(@)=cot70^(@)++2cot40^(@)`

Text Solution

AI Generated Solution

To prove that \( \tan 70^\circ = \cot 70^\circ + 2 \cot 40^\circ \), we will follow a step-by-step approach. ### Step 1: Start with the Left-Hand Side (LHS) We begin with the left-hand side of the equation: \[ \text{LHS} = \tan 70^\circ \] ...
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    ALLEN|Exercise Yourself|12 Videos

  • COMPOUND ANGLES

    ALLEN|Exercise EX-01|17 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    ALLEN|Exercise All Questions|1 Videos

  • DETERMINANTS

    ALLEN|Exercise All Questions|115 Videos

Similar Questions

Explore conceptually related problems

Prove that tan 70^(@) - tan 20^(@) - 2 tan 40^(@) = 4 tan 10^(@) .

Prove that (tan75^(@))/(cot15^(@))=1

Prove that tan 70^(@) = "tan " 20^(@) + 2"tan " 50^(@)

Prove that : tan 70^(@) = tan 20^(@) + 2 tan 50^(@)

Without using trigonometric tables , prove that : (i) tan20^(@)tan40^(@) tan45^(@)tan50^(@)tan70^(@)=1 (ii) tan1^(@) tan2^(@)tan60^(@)tan88^(@)tan89^(@)=sqrt(3) (iii) cot5^(@)cot10^(@)cot30^(@)cot80^(@)cot85^(@)=sqrt(3) (iv) 4sin10^(@)sin20^(@)sin30^(@)sec70^(@)sec80^(@)=2

Prove that: tan10^(@)tan50^(@)+tan50^(@)tan70^(@)+tan70^(@)tan170^(@)=3

Prove that tan225^(@)cot405^(@)+tan765^(@)cot675^(@)=0

Prove that: tan10^(@) tan20^(@)tan70^(@)tan80^(@)=1

Prove that : (tan47^(@))/(cot 43^(@))=1

Prove that : tan (55^(@) + x) = cot (35^(@) - x)