Solve Basic Trigonometric Functions

Presentation

•

Mathematics

•

11th - 12th Grade

•

Hard

WAN BM

Used 7+ times

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9 Slides • 6 Questions

Solve Basic Trigonometric Functions

Learning Outcome:

Solve the equations such as

\sin\ \theta=k

\cos\theta=k

and

\tan\theta=k

Remember to think about which quadrant will give you positive or negative trigonometric ratios.

You need to give your answer(s) according to the ranges given.

If $0\degree\le\theta\le180\degree$ , then your answers only will be in quadrant 1 and 2.

Multiple Select

Find the value of

\theta

for

\sin\theta=\frac{1}{\sqrt{2}}

, where

0\degree<\theta<360\degree

. Choose ALL correct answers.

225

315

135

Please use appropriate unit for your angle.

Check your calculator mode.

Do you remember what is

\operatorname{cosec}\ \theta,\ \sec\theta

and

\cot\theta\ ?

Multiple Select

Solve $\sec\theta=\sqrt{2},\ \ 0<\theta<3\pi$ .

Choose ALL correct answers.

$\frac{\pi}{12}$

$\frac{9\pi}{4}$

$\frac{\pi}{4}$

$\frac{5\pi}{4}$

$\frac{7\pi}{4}$

If you have the range in terms of $\theta$ ,

then, the angle involve in the question is $2\theta$ , you need to multiple the range by 2.

e.g. $0<\theta<2\pi\ \ \ \ \ \Longrightarrow\ \ \ 0<2\theta<4\pi$

Fill in the Blanks

Solve $\tan\ 2x=-\sqrt{3}$ , where $0\degree<x<360\degree$ .

(Tips* : type all your answers in ascending orders without the simbol $\degree$ and without space).

Type answer...

Multiple Choice

Solve $\sin\left(\alpha+10\degree\right)=0.32\$ to two decimal places, where $0\degree<\alpha<360\degree$ .

$18.66\degree,\ 161.34\degree$

$8.66\degree,\ 151.34\degree$

$18.66\degree,\ 341.34\degree$

$8.66\degree,\ 331.34\degree$

What is the relation between $\sin x$ and $\cos x$ ?

(Hint: refer Learning Outcome 7.1(b) )

Multiple Choice

Solve

\sin A=\cos A,

where

0<A<2\pi

$A=\frac{\pi}{4},\frac{5\pi}{4}$

$A=\frac{\pi}{4},\frac{3\pi}{4}$

$A=0,\ \pi,\ 2\pi$

$A=\frac{\pi}{4},\ \ \frac{7\pi}{4}$

Fill in the Blanks

Solve $\left(\cos x\right)^2=\frac{1}{4}$ , where $0\degree\le x\le360\degree$

(Tips* : type all your answers in ascending orders without the simbol degree ° and without space).

Type answer...

You can re-attempt to get the correct answers!

Solve Basic Trigonometric Functions

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