Question

find the value of 5tan^2theta - 5 sec^2 theta

Answer 1

Step-by-step explanation:

i have solved ur question in the above pic

pls follow me

Answer 2

The question is find the value of 5tan^2theta - 5 sec^2 theta

The solution to this question is we have to find the value of the given expression.

The given expression is

$5 { \tan}^{2} theta - 5 { \sec}^{2} theta$

we can take the number 5 as common so that the expression will become

$5( { \tan}^{2} theta - { \sec }^{2} theta) - - - - - (1)$

As per the trigonometric formula, we have

${ \sec }^{2} theta - 1 = { \tan }^{2} theta$

and the other form of the same formula will be

${ \tan }^{2} theta + 1 = {sec}^{2} theta$

Based on the above forms we can have the same formula as

${ \tan}^{2} theta - { \sec}^{2} theta = -1$

As the above form is our required form, then substitute the value in the (1) expression we get the answers as

$5(-1) =- 5$

Therefore, the value of

$5 { \tan}^{2} theta - 5 { \sec }^{2} theta = 5(-1) = -5$

Hence, the final answer to the given expression is found to be - 5.

# spj6

we can find similar questions through the link given below

https://brainly.in/question/44197121?referrer=searchResults