Question

Sin2A +Sin2 (90-A) =?????
Plzzzzz answer it

Answer 1

sin² A + sin² (90° - A) = 1

Correct question : sin² A + sin² (90° - A) = ?

Given :

The expression sin² A + sin² (90° - A)

To find :

The value of the expression

Formula :

• sin (90° - θ) = cos θ

• sin² θ + cos² θ = 1

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is

sin² A + sin² (90° - A)

Step 2 of 2 :

Find the value of the expression

sin² A + sin² (90° - A)

= sin² A + cos² A [ ∵ sin (90° - θ) = cos θ ]

= 1 [ ∵ sin² θ + cos² θ = 1 ]

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Answer 2

The answer is, sin² A + sin² (90° - A) = 1

What is trigonometry?

• Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations.
• There are six functions of an angle commonly used in trigonometry.
• Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

Given :

The expression sin² A + sin² (90° - A)

Formula :

sin (90° - θ) = cos θ

sin² θ + cos² θ = 1

Step 1:

Write down the given expression

Here the given expression is

sin² A + sin² (90° - A)

Step 2:

Find the value of the expression

sin² A + sin² (90° - A)

= sin² A + cos² A [ ∵ sin (90° - θ) = cos θ ]

= 1 [ ∵ sin² θ + cos² θ = 1 ]

Hence, sin² A + sin² (90° - A) = 1

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