Trigonometry
posted by Sira .
How am I suppose to transform the left side of the equation into the right side using trig identities? ):
1) sin^2θ  cos^2θ = 2 sin^2θ  1

sin^2x + cos^2x = 1
from the above,we make cos^2x the subject of the formula:
cos^2x = 1 sin^2x......................(1)
substituting the above into the left hand side of original equation:
sin^2x  ( 1  sin^2x )
expanding the bracket and noting that  times  equals +
sin^2x  1 + sin^2x
rearranging:
2sin^2x  1.
Respond to this Question
Similar Questions

Math  Calculus
The identity below is significant because it relates 3 different kinds of products: a cross product and a dot product of 2 vectors on the left side, and the product of 2 real numbers on the right side. Prove the identity below.  a … 
math
Prove the following identities: a) (cosec θ + cotθ)(cosecθ  cotθ) = cotθtanθ b) 2/(1 + sinθ) + 1/(1 sinθ) = (3sec^2)θ  tanθcosecθ I basically just have to prove Left HandSide … 
trig
The terminal side of θ lies on a given line in the specified quadrant. Find the values of the six trigonometric functions of θ by finding a point on the line. Line: (55/48)x Quadrant:III sin(θ)= cos(θ)= tan(θ)= … 
Trigonometry
Which of the following is equivalent to 1 − cos 2 θ/cos 2 θ? 
trigonomery
Show that the following statement is true by transforming the left side into the right side. sin θ tan θ = csc θ 
Trigonometry
Verify the identities. 1.) √1COSθ/1+COSθ= 1+SINθ/SINθ 2.) SEC X SIN(π/2X)= 1 3.) CSC X(CSC XSIN X)+SIN XCOS X/SIN X + COT X= CSC²X 4.) CSC^4 X2 CSC²X+1= COT^4 X 5.) CSC^4 θCOT^4 θ= 2 … 
trig
Use the fundamental identities to simplify the expression. cos^2θ/sin^2θ+cscθsinθ I got tan^2theta 
2 math ?s
Thank you so much in advance! Verify each identity. Work one side (the harder side) Please show me the work sin θ +cos θ cot θ= csc θ Cos^2 θ + 1 =2cos^2 θ +sin^2 θ 
Calculusantiderivative
Find f. f ''(θ) = sin θ + cos θ, f(0) = 5, f '(0) = 3 My steps: f'(θ)=cosθsinθ+C When f'(0)=3, C=2, so f'(θ)=cosθsinθ2. f(θ)=sinθcosθ2x+D When f(0)=5, D=6, so f is … 
trigonometry
can someone help me prove the identities on this: 1 1/2 sin2θ = sin^3θ + cos^3θ / sinθ + cosθ