Question

if sin theta is equals to 2 by 5 and cos theta is equals to 4 by 5 find the value of sin square theta + cos square theta​

Answer 1

Given:-

• Sinθ = 2/5
• Cosθ = 4/5

To Find:-

• The value of (Sin^2θ + Cos^2θ)

Concept:-

Firstly we have to understand the concept.We have to find the value of(Sin^2θ + Cos^2θ).The values of sin and cos are given,we should sqaure it and then find the value by substituting and equating it.

Solution:-

Sinθ = 2/5

Cosθ = 4/5

(Sin^2θ + Cos^2θ) = ??

$\implies\large\sf{sin^{2}\theta \: + \: cos^{2}\theta}$

$\implies\large\sf{(\frac{2}{5})^{2} \: + \: (\frac{4}{5})^{2}}$

$\implies\large\sf{(\frac{4}{25}) \: + \: (\frac{16}{25})}$

$\implies\large\sf{(\frac{4}{25}) \: + \: (\frac{16}{25}) \: = \: \frac{20}{25}}$

$\implies\large\sf{(\frac{4}{25}) \: + \: (\frac{16}{25}) \: = \: \frac{20}{25} \: = \: \frac{4}{5} }$

$\implies\large\sf{(sin^{2}\theta \: + \: cos^{2}\theta)} \: = \: \frac{4}{5}$

$\bullet \:\large\sf{sin^{2}\theta \: + \: cos^{2}\theta} \: = \: \frac{4}{5}$

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Answer 2

Answer:

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