find the value of cot 7* 1/2 =
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Step-by-step explanation:
Given Find the value of cot 7* 1/2
- Now 7 ½ lies in the first quadrant.
- So cot 7 ½ = cos 7 ½ / sin 7 ½
- = cos 15 / sin 15
- So cos 15 degree = cos (45 – 30)
- = cos 45 cos 30 + sin 45 sin 30 (using cos (a – b) )
- = 1/√2 x √3 / 2 + 1 / √2 x ½
- = √3 / 2√2 + 1/2√2
- = √3 + 1 / 2√2
- Now sin 15 degree = sin (45 – 30)
- = sin 45 cos 30 – cos 45 sin 30
- = 1/√2 x √3 / 2 – 1 / √2 x ½
- = √3 – 1 / 2 √2
Reference link will be
https://brainly.in/question/3260015
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Answer:
we will get √3-1/2√2hope it helps you
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