Question

If 2sin thita=✓3 then find:(a)cos thita (b)tan thita (c)cot thita+cosec thita​

Answer 1

Answer:

given, .

2sinø = √3

=> sinø = √3/2

or sinø = sin60°

=> ø = 60°

now

a) cosø = cos60° = ½

b) tanø = tan60° = √3

c) cotø + cosecø

= cot60° + cosec60°

=

$\frac{1}{ \sqrt{3} } + \frac{2}{ \sqrt{3} } \\ = \frac{1 + 2}{ \sqrt{3} } \\ = \frac{3}{ \sqrt{3} } = \sqrt{3}$