Math, asked by jpjaya552, 6 months ago

sin^2 30°+cos45°-tan^2 30°​

Answers

Answered by Anonymous
158

\huge{\underline{\underline{\tt{\purple{❥QUESTION}}}}}

Q. sin² 30°+cos45°-tan²30°

\huge{\underline{\underline{\tt{\pink{✰SOLUTION࿐}}}}}

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✧ The value of sin30°= 1/2

✧The value of cos45° = √3/2

✧The value of tan30° = 1/√3

A/q,

➨ sin²30°+ cos45° - tan²30°

 =  > ( \frac{1}{2}  ) {}^{2} +  \frac{ \sqrt{3} }{2}  - ( \frac{1}{ \sqrt{3} } ) {}^{2}

 =  >  \frac{1}{4}  +  \frac{ \sqrt{3} }{2}   -  \frac{1}{3}

 =  >  \frac{3 + 6 \sqrt{3} - 4 }{12}

 =  >  \frac{6 \sqrt{3} - 1 }{12}

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Answered by Anonymous
36

Answer:

\huge{\underline{\underline{\tt{\red{✧QUESTION}}}}}

Q. sin² 30°+cos45°-tan²30°

\huge{\underline{\underline{\tt{\blue{✮SOLUTION࿐}}}}}

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✬ The value of sin30°= 1/2

✬The value of cos45° = √3/2

✬ The value of tan30° = 1/√3

A/q,

➨ sin²30°+ cos45° - tan²30°

 =  >  (\frac{1}{2} )  {}^{2}  +  \frac{ \sqrt{3} }{2}  - ( \frac{1}{ \sqrt{3} } ) {}^{2}

 =  >  \frac{1}{4}  +  \frac{ \sqrt{3} }{2}  -  \frac{1}{3}

 =  >  \frac{4 + 6 \sqrt{3}  - 3}{12}

 =  >  \frac{6 \sqrt{3}   + 1}{12}

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