Question

1+tan(5) cot(85) what is result for this question​

Answer 1

HEY MATE HERE IS YOUR SOLUTIONS

$1 + \tan(5 \cot(85) )$

= 1 + tan5°cot85°

= 1 + tan(90° - 85°)cot85°

= 1 + cot85° cot85°

= 1 + cot^2 85°

= cosec^2 85°

Answer 2

$1+\tan (5)\cot (85)=\csc^2 (85)$

Step-by-step explanation:

Given : Expression $1+\tan (5)\cot (85)$

To find : Solve the expression ?

Solution :

We can write 5 as 90-85

So, $1+\tan (5)\cot (85)=1+\tan(90-85)\cot(85)$

We know that, $\tan(90-\theta)=\cot\theta$

$1+\tan (5)\cot (85)=1+\cot(85)\cot(85)$

$1+\tan (5)\cot (85)=1+\cot^2 (85)$

Using trigonometric identity, $1+\cot^2\theta=\csc^2\theta$

$1+\tan (5)\cot (85)=\csc^2 (85)$

#Learn more

Evaluate the following sin 30 degrees + tan 45 degrees minus cos tan 60 degrees by cos 45 degrees + Cos 60 degrees minus secant 30 degrees​

brainly.in/question/11495152