Question

2tan²45+ cos²30 + sin square 30​

Answer 1

Answer:

3

Step-by-step explanation:

2.tan²45 +cos²30 + sin²30

=2(1)² +( √3/2)² + (1/2)²

=2+3/4+1/4

=2+1=3

Answer 2

Answer:

3

Step-by-step explanation:

Given that

2tan^245+ Cos^2 30+ Sin^30

Here we know that the formula of tan^x that is

tan^2x =(1-Cos2x)/(1+Cos2x)

in this question x value is 45 ok!

now we will put the value of x i.e 45 in that above formula

putting x=45

tan^245={1-Cos (2*45)}/{1+Cos(2*45)}

tan^2 45=(1-Cos90)/(1+Cos90)

tan^2 45 = (1-0)/(1+0) as we know cos 90=0

tan^2 45= 1/1=1

tan^2 45 =1 i.e our tan^2 45 is done!

now we will solve the cos^2 30+ Sin^2 30

we know that Cos^2 x + Sin^2 x is 1

so here Cos^2 30+ Sin^2 30 is 1 where 30 is the x value.

we here get the 1 ans of part Cos^230+ Sin^2 30= 1

now come to the question

so our question was that 2 tan^2 45+ Cos^2 30+ Sin^2 30

= 2*1+1

=2+1

=3

so ans is 3.

plz note ^2 means suqare i.e Sin^2= Sin square and do mention Cos 90 means Cos 90 degree.