Question

Solve pls..ch trigonometry...
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Answer 1

Solution

Given :-

• 4 sin² θ = 1 ________(1)
• Angle θ is less than 90° .

Find :-

• Value of cos² θ + tan² θ

Explanation

By, Equ(1)

==> 4 sin² θ = 1

==> sin² θ = 1/4

==> sin θ = √(1/4)

==> sin θ = 1/2

Using Formula

$\dag\boxed{\underline{\tt{\red{\:(\sin^2\theta+\cos^2\theta)\:=\:1}}}}$

So, Now

==> cos θ = √[1 - sin² θ]

==> cos θ = √[1 - (1/2)²]

==> cos θ = √[(1 - 1/4)]

==> cos θ = √[(4-1)/4]

==> cos θ = (√3)/2

Again, Using Formula

==> tan θ = sin θ/cos θ

==> tan θ = (1/2)/[(√3)/2]

==> tan θ = 1/2 × 2/√3

==> tan θ = 1/√3

Now, Calculate cos² θ + tan² θ

Keep above values ,

= (√3/2)² + (1/√3)²

= √3/2 × √3/2 + 1/√3 × 1/√3

= 3/4 + 1/3

= (9 + 4)/12

= 13/12

Hence

• Value of cos² θ + tan² θ will be = 13/12

______________________

Answer 2

Nice Dp btw but whose dog is this???!ಠಿヮಠ