If \(sin \theta + cos \theta = m\), then \(sin^6 \theta + cos^6 \theta\) equals
Question and options
If , then equals
Answer and explanation
Correct answer: D - \(1-\frac{3(m^2-1)^2}{4}\)
sin^6 + cos^6 = 1 - 3 sin^2 cos^2, and sin*cos = (m^2-1)/2, so value = 1 - 3(m^2-1)^2/4.
Practice for these exams
-
IPMAT Indore
Related question papers
Related exam syllabi
More solved explanations in Arithmetic
- A trader mixes 30 kg of rice at Rs. 27 per kg with 35 kg of rice of other variety at Rs. 38 per kg and sells the mixture at Rs. 38 per kg. His profit percent is…
- Let ABC be an equilateral triangle, with each side of length \(k\). If a circle is drawn with diameter AB, then the area of the portion of the triangle lying…
- Ramesh bought 15 magazines at Rs. 30 each from one shop and 25 magazines at Rs. 38 each from another. What is the average price he paid per magazine ?
- An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon?
- In an office, 1/3 of the workers are Men, ½ of the men are married and 1/3 of the married men have children. If ¾ of the women are married and 2/3 of the married…