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त्रिकोणमिति का परिचय

Question

निम्नलिखित के मान लिखिए:
2 tan²45° + cos²30° - sin²60°

Solution

2 tan²45° + cos²30° - sin²60°

open square brackets because space tan space 45 degree space equals space 1 comma space space space cos space 30 degree space equals space fraction numerator square root of 3 over denominator 2 end fraction comma space space sin space 60 degree space equals space fraction numerator square root of 3 over denominator 2 end fraction close square brackets

equals space 2 left parenthesis 1 right parenthesis squared plus open parentheses fraction numerator square root of 3 over denominator 2 end fraction close parentheses squared minus open parentheses fraction numerator square root of 3 over denominator 2 end fraction close parentheses squared equals space 2 plus 3 over 4 minus 3 over 4 space equals space 2