, Avg: 00:20 , 50%✓ SSC CHSL 202141)If \(\rm \sec\left(90^{\circ}-\frac{3θ}{2}\right)=\sqrt2\) , 0° < θ < 90°, then the value of 2sinθ + 4cos2θ will be:
3
SSC CHSL 202142)If \( \rm \frac{\sin θ+\cos θ}{\sin θ-\cos θ}=3\), then the value of sin4 θ - cos4 θ is equal to:
\(\frac{3}{5}\)
, Avg: 01:22 , 66%✓ SSC CHSL 202143)If \(cosθ = \frac{4x}{1 + 4x^2}\), then what is the value of sin θ ?
\(\frac{1 - 4x^2}{1+4x^2}\)
, Avg: 00:28 , 80%✓ SSC CHSL 202144)If (sin A - cos A) = 0, then what is the value of cot A?
1
, Avg: 00:51 , 100%✓ SSC CHSL 202145)If \(cosecθ = \frac{41}{9}\) and θ is an acute angle, then the value of 5 tan θ will be:
\(\frac{9}{8}\)
, Avg: 00:38 , 92%✓ SSC CHSL 202146)Solve the following equation and find the value of θ.
3cot θ + tan θ - 2√3 = 0, 0 < θ < 90°
60°
, Avg: 01:24 , 50%✓ SSC CHSL 202147)In Δ ABC, ∠A = 90°, AB = 20 cm and BC = 29 cm. What is the value of (sinB – cotC)?
\(- \frac{189}{{580}}\)
, Avg: 00:33 , 100%✓ SSC CHSL 202148)If 2cos2θ = 3 (1 – sinθ), 0° < θ < 90°, then what is the value of (tan2θ + cosec3θ - sec2θ)
\(\sqrt 3 - 1\)
, Avg: 00:38 , 80%✓ SSC CHSL 202149)If tan x = cot (48° + 2x), and 0° < x < 90°, then what is the value of x?
14°
, Avg: 01:18 , 33%✓ SSC CHSL 202150)The value of \(\frac{\tan 50^\circ + \sec 50^\circ}{\cot 40^\circ + \text{cosec} \ 40^\circ}\)\( + cos^265° \)\(+ sin 65° cos 25°\)\( + tan 30°\) is:
\(\frac{6+\sqrt{3}}{3}\)