Question

Sec ^2 70 - tan^2 70 = tanA find the value of A

Answer 1

Step-by-step explanation:

We know the Pythagorean equation,

a^2+ b^2= c^2. From this,

Sec^2x- tan^2x= 1

hence, Sec^2 70- tan^2 70= 1 ( substituting X with 70 as given in the question)

this implies,

1= TanA

we know, Tan90= 1

hence, A=90 Degress

Answer 2

If sec² 70° - tan² 70° = tan A then A = 45°

Given :

The expression sec² 70° - tan² 70° = tan A

To find :

The value of A

Formula :

sec² θ - tan² θ = 1

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

sec² 70° - tan² 70° = tan A

Step 2 of 2 :

Find the value of A

We use the formula

sec² θ - tan² θ = 1

Taking θ = 70° we get

sec² 70° - tan² 70° = 1

Thus we get

sec² 70° - tan² 70° = tan A

⇒ 1 = tan A

⇒ tan A = 1

⇒ A = 45°

If sec² 70° - tan² 70° = tan A then A = 45°

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