If θ is an acute angle and sin θ = cos θ, find the value of 3 tan2 θ + 2 sin2 θ– 1.
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Hey there !!!!
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θ is an acute angle
⇒⇒ θ<90°
sin θ = cos θ
When we draw sin θ and cos θ graphs both these graphs intersect each other at θ=45°
⇒⇒ at θ=45° sin θ=cos θ
=3tan²θ+2sin²θ-1
=3tan²45+2sin²45-1
tan45=1 sin45=1/√2
=3*1+2*1/(√2)²-1
=2+2*1/2
=2+1=3
______________________________________________
Hope this helped you................
______________________________________________
θ is an acute angle
⇒⇒ θ<90°
sin θ = cos θ
When we draw sin θ and cos θ graphs both these graphs intersect each other at θ=45°
⇒⇒ at θ=45° sin θ=cos θ
=3tan²θ+2sin²θ-1
=3tan²45+2sin²45-1
tan45=1 sin45=1/√2
=3*1+2*1/(√2)²-1
=2+2*1/2
=2+1=3
______________________________________________
Hope this helped you................
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4
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