Home
Class 10
MATHS
Show that cot theta +tan theta =sec thet...

Show that `cot theta +tan theta =sec theta cosec theta `

Text Solution

Verified by Experts

The correct Answer is:
`=(1)/(sin theta ) (1)/(cos theta ) =cosec theta sec theta `
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    NCERT GUJARATI|Exercise Do THIS|8 Videos

  • TRIGONOMETRY

    NCERT GUJARATI|Exercise TRY THIS|8 Videos

  • TANGENTS AND SECANTS TO A CIRCLE

    NCERT GUJARATI|Exercise Try this|2 Videos

Similar Questions

Explore conceptually related problems

If cos theta + sin theta = p and sec theta + cosec theta = q , prove that q (p^(2) - 1) = 2p .

Prove that (cot theta -cos theta )/( cot theta +cos theta ) =(cos ec theta -1)/( cosec theta +1)

Show that the equation , sec theta + "cosec" theta = c has two roots between 0 and 2pi , if c^2 lt 8 .

Show that tan ^(2) theta +tan ^(4) theta =sec ^(4) theta -sec ^(2) theta

If p and q are the lengths of perpendiculars from the origin to the lines x cos theta - y sin theta = k cos 2 theta and x sec theta + y cosec theta=k respectively, prove that p^(2) + 4q^(2) = k^(2) .

Show that (1)/( cos theta ) -cos theta =tan theta .sin theta

Show that the normal at any point theta to the curve x = a cos theta + a theta sin theta, y = a sin theta - a theta cos theta is at the constant distance from origin.

If the coordinates of a variable point be (cos theta + sin theta, sin theta - cos theta) , where theta is the parameter, then the locus of P is

Show that (cosec theta -cot theta )^(2) =(1-cos theta )/( 1+cos theta )

Prove that sqrt ((1+cos theta )/( 1-cos theta ) ) = cosec theta +cot theta , 0le theta le 90 ^(@)