Question

if cos theta =2/3 find the value of sec theta-1/sec theta+1​

Answer 1

Answer

[sec theta - 1]/[sec theta +1]

$\boxed{\textbf{\large{=1/5}}}$

Given

⚫cos theta = 2/3

Explanation

we know,

cos theta and sec theta are the trigonometric ratios which are the reciprocals of each other

sec theta = 1/ cos theta

sec theta = 1/[ 2/3 ]

[ we have given the value of

cos theta =2/3 ]

$\boxed{\textbf{\large{sec theta = 3/2}}}$

Therefore,

[sec theta - 1]/[sec theta +1]

=[3/2 - 1] / [ 3/2 + 1]

=[(3-2)/2]/[(3+2)/2]

$\boxed{\textbf{\large{=1/5}}}$

Answer 2

Answer:

Given: cosA =2/3

SecA =3/2 (reciprocal of cos A)

SecA-1/secA+1

{3/2-1}/{3/2+1}

1/5

Answer

Step-by-step explanation: