Question

Find the trigonometric functions of

$0 °, 30 °, 45 °, 60 °, 150 °, 180 °, 210 °, 300 °,$ $330 °, - 30 °, - 45 °, - 60 °, - 90 °, - 120 °, - 225 °,$ $- 240 °, - 270 °, - 315 °$

Accepted Answer

The trigonometric functions for the given angles are:

$θ$ $0 °$ $30 °$ $45 °$ $60 °$ $150 °$ $180 °$ $210 °$ $300 °$ $330 °$

sin $θ$ $0$ $\frac{1}{2}$ $\frac{1}{\sqrt{2}}$ $\frac{\sqrt{3}}{2}$ $\frac{1}{2}$ $0$
$- 240 °, - 270 °, - 315 °$
$- \frac{\sqrt{3}}{2}$ $\frac{1}{- 2}$

cos $θ$ $1$ $\frac{\sqrt{3}}{2}$ $\frac{1}{\sqrt{2}}$ $\frac{1}{2}$ $- \frac{\sqrt{3}}{2}$ $- 1$ $- \frac{\sqrt{3}}{2}$ $\frac{1}{2}$ $\frac{\sqrt{3}}{2}$

tan $θ$ $0$ $\frac{1}{\sqrt{3}}$ $1$ $\sqrt{3}$ $- \frac{1}{\sqrt{3}}$ $0$ $\frac{1}{\sqrt{3}}$ – $\sqrt{3}$ $- \frac{1}{\sqrt{3}}$

cosec $θ$ N.D. $2$ $\sqrt{2}$ $\frac{2}{\sqrt{3}}$ $2$ N.D. $- 2$ $- \frac{2}{\sqrt{3}}$ $- 2$

sec $θ$ $1$ $\frac{2}{\sqrt{3}}$ $\sqrt{2}$ $2$ $- \frac{2}{\sqrt{3}}$ $- 1$ $- \frac{2}{\sqrt{3}}$ $2$ $\frac{2}{\sqrt{3}}$

cot $θ$ N.D. $\sqrt{3}$ $1$ $\frac{1}{\sqrt{3}}$ $- \sqrt{3}$ N.D. $\sqrt{3}$ $- \frac{1}{\sqrt{3}}$ – $\sqrt{3}$

$θ$ $- 30 °$ $- 45 °$ $- 60 °$ $- 90 °$ $- 120 °$ $- 225 °$ $- 240 °$ $- 270 °$ $- 315 °$

sin $θ$ $- \frac{1}{2}$ $- \frac{1}{2}$ $- \frac{\sqrt{3}}{2}$ $- 1$ $- \frac{\sqrt{3}}{2}$ $\frac{1}{\sqrt{2}}$ $\frac{\sqrt{3}}{2}$ $1$ $\frac{1}{\sqrt{2}}$

cos $θ$ $\frac{\sqrt{3}}{2}$ $\frac{1}{\sqrt{2}}$ $\frac{1}{2}$ $0$ $- \frac{1}{2}$ $- \frac{1}{\sqrt{2}}$ $- \frac{1}{2}$ $0$ $\frac{1}{\sqrt{2}}$

tan $θ$ $- \frac{1}{\sqrt{3}}$ $- 1$ $- \sqrt{3}$ N.D. $\sqrt{3}$ $- 1$ $- \sqrt{3}$ N.D. $1$

cosec $- 2$ $- \sqrt{2}$ $- \frac{2}{\sqrt{3}}$ $- 1$ $- \frac{2}{\sqrt{3}}$ $\sqrt{2}$ $\frac{2}{\sqrt{3}}$ $1$ $\sqrt{2}$

sec $\frac{2}{\sqrt{3}}$ $\sqrt{2}$ $2$ N.D. $- 2$ $- \sqrt{2}$ $- 2$ N.D. $\sqrt{2}$

cot $- \sqrt{3}$ $- 1$ $- \frac{1}{\sqrt{3}}$ $0$ $\frac{1}{\sqrt{3}}$ $- 1$ $- \frac{1}{\sqrt{3}}$ $0$ $1$

Maharashtra Board Solutions for Chapter: Trigonometry - 1, Exercise 1: EXERCISE 2.1

Maharashtra Board Mathematics Solutions for Exercise - Maharashtra Board Solutions for Chapter: Trigonometry - 1, Exercise 1: EXERCISE 2.1

Questions from Maharashtra Board Solutions for Chapter: Trigonometry - 1, Exercise 1: EXERCISE 2.1 with Hints & Solutions

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