Grade 10Trigonometry
If p^n=cos^n x+sin^n x, then 2p^6-3p^4+1 is equal to what
If p^n=cos^n x+sin^n x, then 2p^6-3p^4+1 is equal to what
1 Answer
Arun
Approved Tutor Answer7 Years agoDear student
p^6 = cos ^6 x + sin^6 x = (cos^2 x + sin^2 x) (cos^4 x + sin^4 x – cos^2 x sin^2 x) = 1 – 3 s^2 c^2
p^4 = 1 – 2 s^2 c^2
hence
2 p^6 – 3 p^4 + 1 = 0
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