We know that: sin⁶ x + cos⁶ x = (sin² x + cos² x)(sin⁴ x + cos⁴ x - sin² x cos² x). Since sin² x + cos² x = 1, We get: 1 × (sin⁴ x + cos⁴ x - sin² x cos² x) = 7/8. Now, let sin² x cos² x = z. So, sin⁴ x + cos⁴ x = 1 - 2z. From the equation 1 - 2z –z = 7/8, solving gives: 3z = 1 - 7/8 = 1/8, hence z = 1/24. Thus, sin⁴ x + cos⁴ x = 1 - 2 × 1/24 = 1 - 1/12 = 11/12. Correct option: c) 11/12
After more thana century peddling vehicles that pollute the atmosphere,General Motorsis starting its relationship with gasoline and diesel and i...
Four words are listed below. Select the CORRECTLY spelt word.
(a) Tariff (b) Tarriff
(c) Tarif (d) Tarrif
Find the correct spelling of the word given below.
Choose the word with correct spelling.
The Jakarta International Java Jazz Festival (does) a huge crowd-puller.
The patronage network in USA that flourished during Democratic rule enriched individuals but paupeirised the party.
...In each group, one word is correctly spelt. Find the correct word.
1) depraive
2) deprave
3) deprayve
4) deprawve
5) none of these
From the options given below, select the option which states the correct combination of incorrect sentences.
I. Recently, there has been a lot of...
