CBSE Class 10 Answered
If sin θ = 31 , then find the value of (2 cot2θ + 2)
Asked by youngster.tamizha2468 | 06 Mar, 2019, 15:37: PM
The question which you have posted should be
If sin θ = 1/3 then find teh value of 2cot2 θ + 2
sin θ = 1/3 then cos θ = ![begin mathsize 16px style square root of 1 minus sin squared straight theta end root equals square root of 1 minus open parentheses 1 third close parentheses squared end root equals square root of 8 over 9 end root equals fraction numerator 2 square root of 2 over denominator 3 end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/75b195d08c75fde9bac7da7a2e05b319.png)
![begin mathsize 16px style square root of 1 minus sin squared straight theta end root equals square root of 1 minus open parentheses 1 third close parentheses squared end root equals square root of 8 over 9 end root equals fraction numerator 2 square root of 2 over denominator 3 end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/75b195d08c75fde9bac7da7a2e05b319.png)
cot θ = ![begin mathsize 16px style cosθ over sinθ equals fraction numerator begin display style fraction numerator 2 square root of 2 over denominator 3 end fraction end style over denominator begin display style 1 third end style end fraction equals 2 square root of 2 end style](https://images.topperlearning.com/topper/tinymce/cache/6414945d7b080b2ed846f0dd0ec9a6b8.png)
![begin mathsize 16px style cosθ over sinθ equals fraction numerator begin display style fraction numerator 2 square root of 2 over denominator 3 end fraction end style over denominator begin display style 1 third end style end fraction equals 2 square root of 2 end style](https://images.topperlearning.com/topper/tinymce/cache/6414945d7b080b2ed846f0dd0ec9a6b8.png)
2cot2 θ + 2 = 2 × 4 × 2 + 2 = 18
Answered by Sneha shidid | 06 Mar, 2019, 15:49: PM
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