Question

The value of (tan60˚+cot60˚)−(sin60˚+cos60˚) is​

Answer 1

Answer:

here your answer.. hope it helps you

Answer 2

Answer- The above question is from the chapter 'Trigonometric Ratios'.

Question: Find the value of (tan60˚ + cot60˚) − (sin60˚ + cos60˚).

Solution: We know that tan 60° = √3

cot 60° = 1/√3

sin 60° = √3/2

cos 60° = 1/2

Substituting values,

(tan60˚ + cot60˚) − (sin60˚ + cos60˚)

= (√3 + 1/√3) - (√3/2 + 1/2)

= (3+1)/√3 - (√3 + 1)/2

= 4√3/3 - √3/ 2 - 1/2

= ( 8√3 - 3√3 - 3)/6

= (5√3 - 3)/6

∴ The value of (tan60˚ + cot60˚) − (sin60˚ + cos60˚) is​ (5√3 - 3)/6.