Question

if 3 sec theta =4 cos theta then cot theta​

Answer 1

Step-by-step explanation:

3 sec theta =4 cos theta

3/cos theta = 4 cos theta

3= 4 cos^2 theta

cos^2 theta= 3/4

cos theta =√3/2

cos^2 theta can be written as 1-sin^2 theta

1 - sin^2 theta = 3/4

sin^2 theta = 1/4

sin theta = 1/2

cot theta = cos theta / sin theta

= √3/2 x 2

= √3

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Answer 2

Answer:

$\cot(theta) = \sqrt{3}$

Step-by-step explanation:

3 sec theta = 4 cos theta

sec theta/cos theta =4/3

sec ^2 theta = 4/3

1+tan^2 theta = 4/3

tan ^2 theta = 4/3-1

tan ^2 theta = 4-3/3

tan^2 theta = 1/3

tan theta = 1/ (root 3)

1/cot theta = 1/(root 3)

cot theta = root 3

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