+91-87964 74404
FlagBACK
Question icon
Grade 12th passTrigonometry

prove that cos(π+teta)cos(-teta) / sin(π- teta)cos(π/2+ teta) = cot²q

Profile image of Nitin chowdhury
8 Years agoGrade 12th pass
Answers icon

1 Answer

Profile image of Arun
ApprovedApproved Tutor Answer8 Years ago
we can write
cos(\pi\pie + theta) =  –cos (theta)
cos( – theta) = cos (theta)
sin(\pi- theta) = sin (theta)
cos(\pi/2 + theta) =  –sin(theta)
now put these value in L.H.S.
cos2(theta) / sin2(theta) = cot2(theta)
hope it clears

Other Related Questions on trigonometry

question mark
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
trigonometry
1 Answer Available

Last Activity: 3 Years ago

question mark
  • Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
trigonometry
1 Answer Available

Last Activity: 4 Years ago

question mark
To prove : Cosec(45 degree - A)Cosec(45 degree + A) = 2SecA
trigonometry
1 Answer Available

Last Activity: 4 Years ago

question mark
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
trigonometry
1 Answer Available

Last Activity: 4 Years ago

question mark
WHAT IS THE LIMIT WHEN X TOWARDS TO 0 OF sin6x/5x ? lim𝑥→0 𝑠𝑖𝑛6𝑥/5𝑥 
trigonometry
1 Answer Available

Last Activity: 4 Years ago