Question

2. Find the values of -
(1) 5 sin 30° + 3 tan 45º
(iii) 2 sin 30° + cos 0° +3 sin 90°
(v) cos? 45° + sin 30°​

Answer 1

Answer:

1) 5 sin 30° + 3 tan 45º

=} 5 (1/2) + 3 (1)

=} 5/2 + 3

=} (5 + 6)/2

=} 11/2

=} 5 sin 30° + 3 tan 45º = 11/2

2) 2 sin 30° + cos 0° +3 sin 90°

=} 2(1/2) + (1) + 3(1)

=} 1 + 1 + 3

=} 5

=} 2 sin 30° + cos 0° +3 sin 90° = 5

3)cos45° + sin 30°

=}

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

=}

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

Answer 2

Step-by-step explanation:

5Sin30° + 3tan45°

$5 \times \frac{1}{2} + 3 \times 1 \\ \\ \frac{5}{2} + 3 \\ \\ \frac{5 + 6}{2} \\ \\ \frac{11}{2}$

2sin30° + cos0° +3sin90°

$2 sin 30° + cos 0° +3 sin 90° \\ \\ 2 \times \frac{1}{2} + 1 + 3 \times 1 \\ \\ 1 + 1 + 3 \\ \\ = 5$

cos45° + sin30°

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