Maths / Introduction to Trigonometry / Trigonometric ratios for 45 degrees

QUESTION
 

If  sinTheta -cosTheta =0,  then the value of  (sin^4Theta +cos^4Theta )is

OPTIONS
A. 

1

B. 

frac {3}{4}

C. 

frac {1}{2}

D. 

frac {1}{4}

Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

large sinTheta -cosTheta =0,

large sin Theta= cosThetaRightarrow Theta= 45^0

 

large (sin^4Theta +cos^4Theta )is

large (sin^445 +cos^445 )

large (frac{1}{sqrt2})^4 +(frac{1}{sqrt2})^4

large frac{1}{4}+frac{1}{4}= frac{2}{4}=frac{1}{2}

 

 

 

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