Question

if tan theta = 2 then find the value of sec theta​

Answer 1

Answer:

1

Step-by-step explanation:

sinΦ

cosΦ = tanΦ

sinΦ = 2

cosΦ = 1

cosΦ = 1/secΦ

so secΦ is also equal to 1

Answer 2

$\LARGE{ \underline{\underline{\orange{ \sf{Required \: answer:}}}}}$

GiveN:

• tan Θ = 2

To FinD:

• sec Θ ?

Step-by-Step Explanation:

Here we have two types of trigonometric ratios: tan Θ and sec Θ. We know about their relation:

• sec² Θ - tan² Θ = 1

Or

• sec² Θ = 1 + tan² Θ

So, let's find arrange the given to get the value of sec Θ:

➛ tan Θ = 2

Squaring both sides,

➛ tan² Θ = 4

Adding one to both sides of the eq.

➛ 1 + tan² Θ = 5

➛ sec² Θ = 5

Square-rooting both sides,

➛ sec Θ = $\pm$√5

Hence,

• The required value of sec Θ is $\pm$√5

Extra Tips:

Some ways to conquer Trigonometric questions:

• Remember all the identities by practising well.
• Always start from the complex side of a proof.
• Don't go for quantity, instead try solving them smartly focusing on quality.
• There are many ways to solve a single equation, choose the smartest way.
• Try drawing a right-angled in some of the questions.