Mathematics: Find the angles a,b,c and d

Given:The trigonometric equation is:To find:The solutions for the given equation over .Solution:We have,It can be written as and The solutions over are: and and Therefore, the correct option is D....

Find the angles a,b,c and d - id6858108, marchellepenuliar

Ответ:

blueval3tine

29.01.2022

Mathematics

(a, b, c, d) = (101°, 79°, 83°, 97°)

Step-by-step explanation:

∠a is the supplement of the one marked 79°, so is ...

∠a = 180° -79°

∠a = 101°

∠b is a corresponding angle to the one marked 79°, so is congruent to it.

∠b = 79°

∠c is a vertical angle with the one marked 83°, so is congruent to it.

∠c = 83°

∠d is a same-side interior angle between two parallel lines, so is supplementary to ∠c.

∠d = 180° -83°

∠d = 97°

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Ответ:

jaylabazemore

29.01.2020

Mathematics

Given:

The trigonometric equation is:

$\tan x\sin x=\tan x\cos x$

To find:

The solutions for the given equation over $0^\circ$ .

Solution:

We have,

$\tan x\sin x=\tan x\cos x$

It can be written as

$\tan x\sin x-\tan x\cos x=0$

$\tan x(\sin x-\cos x)=0$

$\tan x=0$ and $(\sin x-\cos x)=0$

The solutions over $0^\circ$ are:

$x=90^\circ,180^\circ$ and $\sin x=\cos x$

$x=90^\circ,180^\circ$ and $x=45^\circ, 225^\circ$

Therefore, the correct option is D.

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