Question

sin45º - cosec60° + sec
30°​

Answer 1

Answer:

$\frac{1}{ \sqrt{2} }$

Step-by-step explanation:

Value of sin 45° = 1/√2

Value of cosec 60° = 2/√3

Value of sec 30° = 2/√3

$=> sin 45° - cosec 60 ° + sec30° \\ = \frac{1}{ \sqrt{2} } - \frac{2}{ \sqrt{3} } + \frac{2}{ \sqrt{3} } \\ = \frac{1}{ \sqrt{2} } + \frac{2}{ \sqrt{3} } - \frac{2}{ \sqrt{3} } \\ = \frac{1}{ \sqrt{2} } - 0 \\ = \frac{1}{ \sqrt{2} }$

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Answer 2

Answer:

Step-by-step explanation:

sin45=1/sqrt(2)

cosec60=2/sqrt(3)

sec30=2/sqrt(3)

(1/sqrt(2))-(2/sqrt(3))+2/sqRT(3)

=1/sqrt(2)