Math, asked by prijo23, 18 days ago

If tan theta =3/4 find the values of sec theta and cos theta ​

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Answered by venkataramaboddu7
2

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Answered by mpd20700
3

Answer:

sec θ  = \frac{5}{4} ; cos θ = \frac{4}{5}

Step-by-step explanation:

tan θ = \frac{3}{4}

sec θ = √1 + tan²θ

         = =\sqrt{1+(\frac{3}{4})^2} \\\\= \sqrt{1+\frac{9}{16} } \\\\=\sqrt{\frac{16+9}{16} } \\\\=\sqrt{ \frac{25}{16}} \\\\=\frac{5}{4}

cos θ = \frac{1}{Sec }θ

         =\frac{1}{\frac{5}{4} } \\\\=\frac{4}{5}

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