Question

If Sin 2A =1/2
tan^2 45° where A is an acute angle, then the value of A is
______
(a) 60°
(b) 45°
(C) 30°
(d) 15°​

Answer 1

Answer:

15

Step-by-step explanation:

1/2of 1 =1/2

Sin2A=30

SinA=30/2

SinA=15

Answer 2

The value of A = 15°, So the correct answer is Option (d) 15°

Given:

Sin 2A = 1/2 [ tan² 45° ]  

Where A is an acute angle

To find:

The value of A is  

Solution:

Formulas used:

From the trigonometric ratios table  

Tan 45° = 1

Sin 30° = 1/2    

Given

Sin 2A = 1/2 [ tan² 45° ]    

As we know tan 45° = 1

=> tan² 45° = (1)² = 1    

Substitute tan² 45° = 1 in given condition

=> Sin 2A = 1/2 [ 1 ]      

=> Sin 2A = 1/2

As we know Sin 30° = 1/2    

=> Sin 2A = Sin 30°  

=> 2A = 30°  

=> A = 15°  

Therefore,

The value of A = 15°, So the correct answer is Option (d) 15°

Learn more about Trigonometric ratios at

https://brainly.in/question/13080056

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