Question
If sin(3x - 2o) = cos(2x + 22o),
then find the value of: {3tan(4x - 11o) + cosec(5x - 10o)} X cot(2x + 2o)Solution
sin (3x - 2o) = cos (2x + 22o), Or, sin (3x - 2o) = sin (90o - 2x - 22o) So, 3x - 2o = 68o - 2x So, 5x = 70o So, x = (70/5) = 14o So, {3tan (4x - 11o) + cosec (5x - 10o)} X cot (2x + 2o) = {3 X tan45o + cosec 60o} X cot30o = (3 X 1 + 2/√3) x √3 = {(3 √3  + 2)/ √3}  x √3 = (3 √3  + 2)Â
What value should come in place of (?) question mark in the given expression.
17 × 15 − 96 ÷ 8 + 6² = ?
Evaluate: 144 ÷ 12 × 6 + 35 − 4²
What will come in the place of question mark (?) in the given expression?
21 × 18 + ? – 19 × 15 = 25 × 24
2916 ÷ 54 = ? + 27
√324 + √484 + 63 = ?2Â
What will come in the place of question mark (?) in the given expression?
{(2/15) + (12/25)} of 375 + 190 = ?% of 375
- What will come in place of the question mark (?) in the following questions?
100−[20+4×5]=? (72 × 52 + 1555 )/(79+60) = 2000 ÷ ?
72 × 2 = ? + 104 – 14
672 ÷ 28 × 24 + 363 – 309 =?