If sin A =3/4 calculate cos A and tan A ?

byAmlesh Mahato •May 24, 2021

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Solution:

⇨Given

$If sin A =3/4 calculate cos A and tan A ?$

⇨We Know that,

$\large sinA=\frac{3}{4}=\frac{p}{h}$

⇨Therefore, p=3, h=4, b=?

$\large \Rightarrow 4^2=3^2+b^2$

$\large \Rightarrow 4^2-3^2=b^2$

$\large \Rightarrow b^2=16-9$

$\large \Rightarrow b^2=7$

$\large \Rightarrow b=\sqrt{7}$

⇨ Now,

$\large cosA=\frac{b}{h}=\frac{\sqrt{7}}{4}$

$\large tanA=\frac{p}{b}=\frac{3}{\sqrt{7}}$

Tags: Chapter-8 Exercise-8.1 Math- Class 10