Use tables to find the acute angle θ, if the value of cos θ is 0.6885

Sum

From the tables, it is clear that cos 46° 30’ = 0.6884

cos q − cos 46° 30’ = 0.6885 − 0.6884 = 0.0001

From the tables, diff of 1’ = 0.0002

Hence, θ = 46° 30’ − 1’ = 46° 29’

shaalaa.com

Is there an error in this question or solution?

Express the following in terms of angles between 0° and 45°:

cos74° + sec67°

Find the value of x, if sin x = sin 60° cos 30° + cos 60° sin 30°

Find the value of x, if cos (2x – 6) = cos² 30° – cos² 60°

Use tables to find cosine of 2° 4’

If \[\tan \theta = \frac{4}{5}\] find the value of \[\frac{\cos \theta - \sin \theta}{\cos \theta + \sin \theta}\]

If \[\cos \theta = \frac{2}{3}\] find the value of \[\frac{\sec \theta - 1}{\sec \theta + 1}\]

If \[\frac{{cosec}^2 \theta - \sec^2 \theta}{{cosec}^2 \theta + \sec^2 \theta}\] write the value of \[\frac{1 - \cos^2 \theta}{2 - \sin^2 \theta}\]

If tan θ = cot 37°, then the value of θ is

If sin θ + sin² θ = 1 then cos² θ + cos⁴ θ is equal ______.

2(sin⁶ θ + cos⁶ θ) – 3(sin⁴ θ + cos⁴ θ) is equal to ______.