Math, asked by Anonymous, 2 months ago

Solve this one...

Evaluate sin ( 45 - theta ) - cos ( 45- theta )​

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Answered by ItzDinu
4

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\implies\large\bf{\underline{\red{VERIFIED✔}}}

 we \: know \: that \\ =  >  \sin(90 - \theta)  =  \cos\theta \\  so \\ =  >  \sin( {45}^{0} + \theta)  \\  =  >  \cos(90 - (4 {5}^{0}  + \theta) \\  =  >  \cos( {45}^{0} - \theta ) \\ therefore \\  =  >  \sin( {45}^{0}  + \theta)  -  \cos( {45}^{0} - \theta ) \\=  >  \cos( {45}^{0}  + \theta)  -  \cos( {45}^{0} - \theta ) \\  =  > 0

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Answered by HelpKaroNa
0

Answer:

weknowthat

=>sin(90−θ)=cosθ

so

=>sin(45

0

+θ)

=>cos(90−(45

0

+θ)

=>cos(45

0

−θ)

therefore

=>sin(45

0

+θ)−cos(45

0

−θ)

=>cos(45

0

+θ)−cos(45

0

−θ)

=>0

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