1) sinΘ + cosΘ = √2, Find Θ
2) cosecA - cotA = 1/2, Find cosΘ
3) cotΘ + tanΘ = 2 secΘ, FindΘ
Answers
Answered by
15
SOLUTION
TO DETERMINE
1) Find Θ when sinΘ + cosΘ = √2
2) Find cosΘ when cosecΘ - cotΘ = 1/2
3) Find Θ when cotΘ + tanΘ = 2 secΘ
EVALUATION
1.
Squaring both sides we get
Now
So
2.
Clearly Cosθ # 0
If Cosθ = 0 then tanθ is undefined
Here it is given that
( Cosecθ - Cotθ ) = (1/2) ......... (1)
We are aware of the identity that
Cosec²θ - Cot²θ = 1
➙( Cosecθ + Cotθ ) ( Cosecθ - Cotθ) = 1
➙( Cosecθ + Cotθ ) ( 1/2) = 1
➙( Cosecθ + Cotθ ) = 2 ......... (2)
Solving Equation 1 and Equation 2 we get
Cosecθ = 5/4 and Cotθ = 3/4
So Cosθ
= Cotθ / Cosecθ
= 3/5
3.
Here
━━━━━━━━━━━━━
LEARN MORE FROM BRAINLY
What is the value of cos^2 31-sin^2 59
https://brainly.in/question/28163136
Answered by
0
Answer:
please follow me my dear friend please ❤️❤️
Similar questions