Question

2sin 45+1/2 cosec 45
​

Answer 1

Answer:

3/√2 ,is right answer after solve this problem

Step-by-step explanation:

=2×1/√2 + 1/2×√2

=2/√2 + √2/2

now taking LCM

=4+2/2√2

=6/2√2

=3/√2 answer

Answer 2

Step-by-step explanation:

Given:

$2 \sin(45^{\circ}) + \frac{1}{2} \cosec(45^{\circ})$

To find: Find the value of trigonometry expression

Solution:

We know that

$\sin(45^{\circ}) = \frac{1}{ \sqrt{2} } \\ \\ cosec(45^{\circ}) = \sqrt{2}$

put these values

$2 \sin(45^{\circ}) + \frac{1}{2} \cosec(45^{\circ}) \\ \\ \implies2 \times \frac{1}{ \sqrt{2} } + \frac{1}{2} \times \sqrt{2} \\ \\ \implies2 \times \frac{ \sqrt{2} }{ \sqrt{2} \times \sqrt{2} } + \frac{ \sqrt{2} }{2} \\ \\ \implies\frac{\cancel2 \sqrt{2} }{\cancel2} + \frac{ \sqrt{2} }{2} \\ \\ \implies\sqrt{2 }+ \frac{ \sqrt{2} }{2} \\ \\ \implies \frac{3 \sqrt{2} }{2}$

Final answer:

$\bold{\pink{2 \sin(45^{\circ}) + \frac{1}{2} \cosec(45^{\circ}) = \frac{3 \sqrt{2} }{2} }}$

Hope it helps you.

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