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`        What is the value of cot in the given question? Choose the answer among the given options. `
2 months ago

```							Dear student 7½° lies in the first quadrant.Therefore, both sin 7½° and cos 7½° is positive.For all values of the angle A we know that, sin (α - β) = sin α cos β - cos α sin β.Therefore, sin 15° = sin (45° - 30°)= 1/√2∙√3/2 - 1/√2∙1/2= √3/2√2 - 1/2√2= √3−1/2√2Hope this helps Good luck
```
2 months ago
```							Hiii in accordance to above question , Again, for all values of the angle A we know that, cos (α - β) = cos α cos β + sin α sin β.Therefore, cos 15° = cos (45° - 30°) cos 15° = cos 45° cos 30° + sin 45° sin 30°           = 1/√2∙√3/2 + 1/√2∙1/2           = √3/2√2 + 1/2√2           = √3+1/2√2Now cot 7½°= cos7½°/sin7½°= 2cos7½°∙cos7½°/2sin7½°∙cos7½°= 2cos^27½°/2sin7½°cos7½°= 1+cos15°/sin15°= 1+cos(45°−30°)/sin(45°−30°)= 1+(√3+1/2)/2√2/(√3−1)/2√2= 2√2+√3+1/√3−1= (2√2+√3+1)(√3+1)/(√3−1)(√3+1)= 2√6+2√2+3+√3+√3+1 / 3-1= 2√6+2√2+2√3+4 / 2= √6 + √2 + √3 + 2= 2 + √2 + √3 + √6
```
2 months ago
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