Question

Find the value of
3 sin30° - 5 cos45° + tan45°

Answer 1

Step-by-step explanation:

sin30 = 1/2

cos45 =1/√2

tan 45 = 1

then

3 sin30° - 5 cos45° + tan45°

= 3(1/2) - 5(1/√2) + 1

= 3/2+ 5/√2+ 1

= 1.5 + (5+√2)/√2

= (2.121 + 6.414)/√2

= 6.036

Answer 2

Answer:

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Step-by-step explanation:

$= 3 \times \frac{1}{2} - 5 \times \frac{1}{ \sqrt{2} } + 1 \\ = \frac{3}{2} - \frac{5}{ \sqrt{2} } + 1 \\ = \frac{3}{2} + 1 - \frac{5 \sqrt{2} }{2} \\ = \frac{5}{2} - \frac{5 \sqrt{2} }{2} \\ = \frac{5 - 5 \sqrt{2} }{2}$