Convert the following degree measure into radian measure. 240° - Business Mathematics and Statistics

Convert the following degree measure into radian measure.

240°

Sum

1° = `pi/180` radians

∴ 240° = `pi/180` × 240 radians

= `(4pi)/3` radians

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Trigonometric Ratios

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Chapter 4: Trigonometry - Exercise 4.1 [Page 80]

Chapter 4 Trigonometry
Exercise 4.1 | Q 1. (iii) | Page 80

Convert the following degree measure into radian measure.

150°

Find the degree measure corresponding to the following radian measure.

`(9pi)/5`

Find the values of the following trigonometric ratio.

sec 390°

Prove that:

`sin theta * cos theta {sin(pi/2 - theta) * "cosec" theta + cos (pi/2 - theta) * sec theta}` = 1

If sin θ = `3/5`, tan φ = `1/2 and pi/2` < θ < π < φ < `(3pi)/2,`, then find the value of 8 tan θ – `sqrt5` sec φ.

The radian measure of 37°30′ is:

The value of `(3 tan 10^circ - tan^3 10^circ)/(1 - 3 tan^2 10^circ)` is:

The value of cosec^-1 `(2/sqrt3)` is:

sec^-1 `(2/3)` + cosec^-1 `(2/3)`=

`sin (cos^-1 3/5)` is