Grade 11Trigonometry
if sin^4 theta + sin^2 theta =1 . then prove that :1/ tan^4 theta + 1/tan^2 theta = 1
if sin^4 theta + sin^2 theta =1 . then prove that :
1/ tan^4 theta + 1/tan^2 theta = 1
1 Answer
Arun
Dividing the given equation by cos^4 theta we get,
tan^4 theta + (tan^2 theta) x (sec^2 theta) = sec^4 theta
changing sec into tan by formula
sec^2 theta = 1+ tan^2 theta
we get the answer 1
Other Related Questions on trigonometry
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
trigonometry
Last Activity: 3 Years ago
- Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
- Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
trigonometry
Last Activity: 4 Years ago
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
trigonometry
Last Activity: 4 Years ago
WHAT IS THE LIMIT WHEN X TOWARDS TO 0 OF sin6x/5x ? lim𝑥→0 𝑠𝑖𝑛6𝑥/5𝑥
WHAT IS THE LIMIT WHEN X TOWARDS TO 0 OF sin6x/5x ? lim𝑥→0 𝑠𝑖𝑛6𝑥/5𝑥
trigonometry
Last Activity: 4 Years ago