Question
Given that 'θ' is an angle less than 120°, what is the
value of 'θ' if it satisfies the equation 7cos² θ = 1 + sin²θ?Solution
Given, 7cos²θ = 1 + sin²θ Or 7cos²θ - sin² θ = 1 Or 7cos²θ - (1 - cos²θ) = 1 Or 8cos²θ = 2 Or cos²θ = (2/8) =1/4 Or cosθ = 1/2 (Since, in options maximum value of 'θ' is 90°therefore, we will take the positive root only) Or cosθ = cos60° θ=60°
Evaluate: 360 ÷ [ {18 − (6×2)} × 5 ] + 72 − 33
(43)² - (28)² + (32)² = ?% of 2500
Evaluate:
√729 + √49 - √16 + 1/√64
What will come in place of (?) in the given expression.
12.5 + 7.75 - 3.6 = ?62 of 8 - 320 ÷ 4 = ?3 + 200
2(1/3) + 2(5/6) – 1(1/2) = ? – 6(1/6)
What will come in the place of question mark (?) in the given expression?
30% of 520 + 16% of 1500 = ? + 244
60% of 120 – ?% of 64 = 20% of 200
35% of 840 + 162 = ? – 25% × 300
20% of 240 + 18% of 200 = ?
Relevant for Exams:
