If sin θ sec ² θ = 2/3, 0° < θ < 90°, then the value of (tan ² θ + sin ² θ) is:

What is the value of  \(\frac{{tan9^\circ tan23^\circ tan60^\circ tan67^\circ tan81^\circ }}{{cosec{^2}72^\circ + {{\cos }^2}15^\circ - {{\tan }^2}18^\circ + {{\cos }^2}75^\circ }} \)

If 8 cos ² θ - 2 cos θ - 3 = 0, 0° < θ < 90° , then what is the value of 3 tan θ + cosec θ + cot θ ?

The value of \(\frac{{(\tan 25^\circ \cot 65^\circ - cose{c^2}\;65^\circ ) + co{t^2}\;61^\circ - se{c^2}\;29^\circ }}{{si{n^2}\;5^\circ + si{n^2}\;7^\circ + si{n^2}\;9^\circ + \cdots + si{n^2}\;85^\circ }}\)  is:

If 7 cos ² θ + 5 sin ² θ - 6 = 0, (0° < θ < 90°), then what is the value of  \(\sqrt {\frac{{\text{cosec} \ θ\ +\ \cot θ }}{{\text{cosec} \ θ\ -\ \cot θ }}}\)  ?

If x is a real quantity, what is the minimum value of (16 cos ²x + 9 sec ² x)?

If cosec A =  \(\frac {5}{4}\) , then what is the value of tan A ?

If 14 sin ² θ + 3 sin θ - 5 = 0, 0° < θ < 90°, then the value of  \(\frac{\sec 2\theta + \cot 2\theta}{\rm cosec 2\theta + \tan 2\theta }\)  is:

If \(\frac{{\sec θ + \tan θ }}{{\sec θ - \tan θ }} = \frac{5}{3}\) , 0° < θ < 90°, then what is the value of (cosec θ + cos θ + cot θ)?

(secθ + tanθ)/(secθ - tanθ)  is equal to:

If tan 45°, cot θ then the value of θ, in radians is

ABC is a triangle If sin (A+B)/2 = √3/2, then the value of sin C/2 is

The angles of elevation of the top of a temple, from the foot and the top of a building 30 m high, are 60° and 30° respectively. Then height of the temple is