Math, asked by ksahu5792p8p6c3, 1 year ago

Tan 60 /sin 60 +cos 60

Answers

Answered by Anonymous
101
Hey........!!! here is ur answer......☺️☺️☺️

Here.......tan60/sin60 + cos60

=> (√3)/(√3/2+1/2)

As we know that tan60 = √3, sin60 = √3/2 & cos60 = 1/2.

=> (√3)/(√3+1)/2

=>2√3/√3+1

On rationalization......

=> (2√3/√3+1).(√3–1/√3–1)

=> (2√3)(√3–1)/(√3+1)(√3–1)

=> (6–2√3)/(√3²–1²)

Because a²–b² = (a+b)(a-b)

=> (6–2√3)/2

=>3–√3 «««««Ans.

I hope it will help you.........✌️✌️✌️

Answered by Rishikta
40
HELLO!!

ANSWER:

tan60°/sin60° + cos60° = 2√3 / √3+1

(OR)

tan60°/sin60° + cos60° = 1.27

EXPLANATION:

tan60° = √3

sin60° = √3/2

cos60° = 1/2

tan60°/sin60° + cos60° = (√3) / (√3/2 + 1/2)

= (√3) / (√3+1 /2)

= (√3 × 2) / (√3+1)

= 2√3 / √3+1

(OR)

tan60°/sin60° + cos60° = 1.7321 / 0.8660 + 0.5000

= 1.7321 / 1.366

= 1.26800878

= 1.27 (approx)

HOPE IT HELPS YOU!!
Similar questions