Question

Find the value of 4sin60°+ 3 tan30°-8sin45°.
cos45​

Answer 1

Answer:

(3root3-4)is the answer for this please brainliest

Answer 2

Find the value of 4sin60°+ 3 tan30°-8sin45°.

cos45

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Solution-

$4 \times \frac{ \sqrt{3} }{2} + 3 \times \frac{1}{ \sqrt{3} } - 8 \times \frac{1}{ \sqrt{2} } + \frac{1}{ \sqrt{2} } \\ \\ = > 2 \sqrt{3 } + \frac{3}{ \sqrt{3} } - \frac{8}{ \sqrt{2} } + \frac{1}{ \sqrt{2} } \\ \\ = > 2 \sqrt{3} + \sqrt{3} - \frac{8}{ \sqrt{2} } + \frac{1}{ \sqrt{2} } \\ \\ = > \frac{2 \sqrt{6} + \sqrt{6} - 8 + 1}{ \sqrt{2} } \\ \\ = > \frac{3 \sqrt{6} - 7 }{ \sqrt{2} } \\ \\ = > \frac{3 \sqrt{6} }{ \sqrt{2} } - \frac{7}{ \sqrt{2} } \\ \\ = > 3 \times 3 - \frac{7}{ \sqrt{2} } \\ \\ = > 9 - \frac{7}{ \sqrt{2} } \\ \\ = > \boxed{\frac{9 \sqrt{2} - 7 }{ \sqrt{2} } }$

Important...Values ...

✨ sin 30° = 1/2

✨sin 45° = 1/√2

✨sin60° = √3/2

✨ Cos 30° = √3/2

✨Cos45° = 1/√2

✨Cos 60° = 1/2

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